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Finding the Third Proportional to 186,275,414 and 391,854,586

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Solution

The third proportional to 186,275,414 and 391,854,586 is: 824,317,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275,414 : 391,854,586 = 391,854,586 : x
  2. Step 2: Convert to fraction form
    186,275,414/391,854,586 = 391,854,586/x
  3. Step 3: Cross multiply
    186,275,414x = 391,854,586 × 391,854,586
  4. Step 4: Simplify right side
    186,275,414x = 153,550,016,569,231,392
  5. Step 5: Solve for x
    x = 153,550,016,569,231,392/186,275,414
  6. Step 6: Final answer
    x = 824,317,140.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.