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Finding the Third Proportional to 146,612,898 and 215,126,400

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Solution

The third proportional to 146,612,898 and 215,126,400 is: 315,656,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,612,898 : 215,126,400 = 215,126,400 : x
  2. Step 2: Convert to fraction form
    146,612,898/215,126,400 = 215,126,400/x
  3. Step 3: Cross multiply
    146,612,898x = 215,126,400 × 215,126,400
  4. Step 4: Simplify right side
    146,612,898x = 46,279,367,976,960,000
  5. Step 5: Solve for x
    x = 46,279,367,976,960,000/146,612,898
  6. Step 6: Final answer
    x = 315,656,866.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.