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Finding the Third Proportional to 186,275,416 and 391,854,590

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Solution

The third proportional to 186,275,416 and 391,854,590 is: 824,317,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275,416 : 391,854,590 = 391,854,590 : x
  2. Step 2: Convert to fraction form
    186,275,416/391,854,590 = 391,854,590/x
  3. Step 3: Cross multiply
    186,275,416x = 391,854,590 × 391,854,590
  4. Step 4: Simplify right side
    186,275,416x = 153,550,019,704,068,096
  5. Step 5: Solve for x
    x = 153,550,019,704,068,096/186,275,416
  6. Step 6: Final answer
    x = 824,317,148.24

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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.