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Finding the Third Proportional to 96,720,080 and 204,356,800

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Solution

The third proportional to 96,720,080 and 204,356,800 is: 431,779,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720,080 : 204,356,800 = 204,356,800 : x
  2. Step 2: Convert to fraction form
    96,720,080/204,356,800 = 204,356,800/x
  3. Step 3: Cross multiply
    96,720,080x = 204,356,800 × 204,356,800
  4. Step 4: Simplify right side
    96,720,080x = 41,761,701,706,240,000
  5. Step 5: Solve for x
    x = 41,761,701,706,240,000/96,720,080
  6. Step 6: Final answer
    x = 431,779,023.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.