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Finding the Third Proportional to 72,773,920.02 and 157,826,649.02

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Solution

The third proportional to 72,773,920.02 and 157,826,649.02 is: 342,282,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773,920.02 : 157,826,649.02 = 157,826,649.02 : x
  2. Step 2: Convert to fraction form
    72,773,920.02/157,826,649.02 = 157,826,649.02/x
  3. Step 3: Cross multiply
    72,773,920.02x = 157,826,649.02 × 157,826,649.02
  4. Step 4: Simplify right side
    72,773,920.02x = 24,909,251,141,968,116
  5. Step 5: Solve for x
    x = 24,909,251,141,968,116/72,773,920.02
  6. Step 6: Final answer
    x = 342,282,663.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.