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Finding the Third Proportional to 141,057,369 and 217,874,734.50

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Solution

The third proportional to 141,057,369 and 217,874,734.50 is: 336,525,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057,369 : 217,874,734.50 = 217,874,734.50 : x
  2. Step 2: Convert to fraction form
    141,057,369/217,874,734.50 = 217,874,734.50/x
  3. Step 3: Cross multiply
    141,057,369x = 217,874,734.50 × 217,874,734.50
  4. Step 4: Simplify right side
    141,057,369x = 47,469,399,933,445,488
  5. Step 5: Solve for x
    x = 47,469,399,933,445,488/141,057,369
  6. Step 6: Final answer
    x = 336,525,487.96

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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.