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Finding the Third Proportional to 292,507,671,278.25 and 593,239,992,565.50

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Solution

The third proportional to 292,507,671,278.25 and 593,239,992,565.50 is: 1,203,160,543,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,671,278.25 : 593,239,992,565.50 = 593,239,992,565.50 : x
  2. Step 2: Convert to fraction form
    292,507,671,278.25/593,239,992,565.50 = 593,239,992,565.50/x
  3. Step 3: Cross multiply
    292,507,671,278.25x = 593,239,992,565.50 × 593,239,992,565.50
  4. Step 4: Simplify right side
    292,507,671,278.25x = 351,933,688,779,114,478,043,136
  5. Step 5: Solve for x
    x = 351,933,688,779,114,478,043,136/292,507,671,278.25
  6. Step 6: Final answer
    x = 1,203,160,543,589.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.