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Finding the Third Proportional to 82,100,231 and 177,217,486

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Solution

The third proportional to 82,100,231 and 177,217,486 is: 382,532,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100,231 : 177,217,486 = 177,217,486 : x
  2. Step 2: Convert to fraction form
    82,100,231/177,217,486 = 177,217,486/x
  3. Step 3: Cross multiply
    82,100,231x = 177,217,486 × 177,217,486
  4. Step 4: Simplify right side
    82,100,231x = 31,406,037,344,160,196
  5. Step 5: Solve for x
    x = 31,406,037,344,160,196/82,100,231
  6. Step 6: Final answer
    x = 382,532,874.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.