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Finding the Third Proportional to 82,100,229 and 177,217,482

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Solution

The third proportional to 82,100,229 and 177,217,482 is: 382,532,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100,229 : 177,217,482 = 177,217,482 : x
  2. Step 2: Convert to fraction form
    82,100,229/177,217,482 = 177,217,482/x
  3. Step 3: Cross multiply
    82,100,229x = 177,217,482 × 177,217,482
  4. Step 4: Simplify right side
    82,100,229x = 31,406,035,926,420,324
  5. Step 5: Solve for x
    x = 31,406,035,926,420,324/82,100,229
  6. Step 6: Final answer
    x = 382,532,866.34

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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.