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Finding the Third Proportional to 124,781,832 and 269,293,416

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Solution

The third proportional to 124,781,832 and 269,293,416 is: 581,165,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,781,832 : 269,293,416 = 269,293,416 : x
  2. Step 2: Convert to fraction form
    124,781,832/269,293,416 = 269,293,416/x
  3. Step 3: Cross multiply
    124,781,832x = 269,293,416 × 269,293,416
  4. Step 4: Simplify right side
    124,781,832x = 72,518,943,900,949,056
  5. Step 5: Solve for x
    x = 72,518,943,900,949,056/124,781,832
  6. Step 6: Final answer
    x = 581,165,885.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.