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Finding the Third Proportional to 96,375,959 and 144,777,581

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Solution

The third proportional to 96,375,959 and 144,777,581 is: 217,487,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,375,959 : 144,777,581 = 144,777,581 : x
  2. Step 2: Convert to fraction form
    96,375,959/144,777,581 = 144,777,581/x
  3. Step 3: Cross multiply
    96,375,959x = 144,777,581 × 144,777,581
  4. Step 4: Simplify right side
    96,375,959x = 20,960,547,960,211,560
  5. Step 5: Solve for x
    x = 20,960,547,960,211,560/96,375,959
  6. Step 6: Final answer
    x = 217,487,308.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.