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Finding the Third Proportional to 96,152,472 and 226,752,220

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Solution

The third proportional to 96,152,472 and 226,752,220 is: 534,739,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152,472 : 226,752,220 = 226,752,220 : x
  2. Step 2: Convert to fraction form
    96,152,472/226,752,220 = 226,752,220/x
  3. Step 3: Cross multiply
    96,152,472x = 226,752,220 × 226,752,220
  4. Step 4: Simplify right side
    96,152,472x = 51,416,569,274,928,400
  5. Step 5: Solve for x
    x = 51,416,569,274,928,400/96,152,472
  6. Step 6: Final answer
    x = 534,739,962.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.