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Finding the Third Proportional to 141,057,374 and 217,874,742

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Solution

The third proportional to 141,057,374 and 217,874,742 is: 336,525,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057,374 : 217,874,742 = 217,874,742 : x
  2. Step 2: Convert to fraction form
    141,057,374/217,874,742 = 217,874,742/x
  3. Step 3: Cross multiply
    141,057,374x = 217,874,742 × 217,874,742
  4. Step 4: Simplify right side
    141,057,374x = 47,469,403,201,566,560
  5. Step 5: Solve for x
    x = 47,469,403,201,566,560/141,057,374
  6. Step 6: Final answer
    x = 336,525,499.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.