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Finding the Third Proportional to 83,869,056 and 179,396,640

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Solution

The third proportional to 83,869,056 and 179,396,640 is: 383,730,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,869,056 : 179,396,640 = 179,396,640 : x
  2. Step 2: Convert to fraction form
    83,869,056/179,396,640 = 179,396,640/x
  3. Step 3: Cross multiply
    83,869,056x = 179,396,640 × 179,396,640
  4. Step 4: Simplify right side
    83,869,056x = 32,183,154,443,289,600
  5. Step 5: Solve for x
    x = 32,183,154,443,289,600/83,869,056
  6. Step 6: Final answer
    x = 383,730,972.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.