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Finding the Third Proportional to 138,023,352 and 295,435,350

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Solution

The third proportional to 138,023,352 and 295,435,350 is: 632,371,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,023,352 : 295,435,350 = 295,435,350 : x
  2. Step 2: Convert to fraction form
    138,023,352/295,435,350 = 295,435,350/x
  3. Step 3: Cross multiply
    138,023,352x = 295,435,350 × 295,435,350
  4. Step 4: Simplify right side
    138,023,352x = 87,282,046,029,622,496
  5. Step 5: Solve for x
    x = 87,282,046,029,622,496/138,023,352
  6. Step 6: Final answer
    x = 632,371,586.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.