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Finding the Third Proportional to 76,612,724 and 165,380,200

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Solution

The third proportional to 76,612,724 and 165,380,200 is: 356,998,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,612,724 : 165,380,200 = 165,380,200 : x
  2. Step 2: Convert to fraction form
    76,612,724/165,380,200 = 165,380,200/x
  3. Step 3: Cross multiply
    76,612,724x = 165,380,200 × 165,380,200
  4. Step 4: Simplify right side
    76,612,724x = 27,350,610,552,040,000
  5. Step 5: Solve for x
    x = 27,350,610,552,040,000/76,612,724
  6. Step 6: Final answer
    x = 356,998,278.15

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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.