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Finding the Third Proportional to 83,404,181.25 and 173,711,211.75

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Solution

The third proportional to 83,404,181.25 and 173,711,211.75 is: 361,799,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,404,181.25 : 173,711,211.75 = 173,711,211.75 : x
  2. Step 2: Convert to fraction form
    83,404,181.25/173,711,211.75 = 173,711,211.75/x
  3. Step 3: Cross multiply
    83,404,181.25x = 173,711,211.75 × 173,711,211.75
  4. Step 4: Simplify right side
    83,404,181.25x = 30,175,585,087,653,340
  5. Step 5: Solve for x
    x = 30,175,585,087,653,340/83,404,181.25
  6. Step 6: Final answer
    x = 361,799,428.22

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.