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Finding the Third Proportional to 252,416,664 and 377,233,789.50

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Solution

The third proportional to 252,416,664 and 377,233,789.50 is: 563,771,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,416,664 : 377,233,789.50 = 377,233,789.50 : x
  2. Step 2: Convert to fraction form
    252,416,664/377,233,789.50 = 377,233,789.50/x
  3. Step 3: Cross multiply
    252,416,664x = 377,233,789.50 × 377,233,789.50
  4. Step 4: Simplify right side
    252,416,664x = 142,305,331,940,530,304
  5. Step 5: Solve for x
    x = 142,305,331,940,530,304/252,416,664
  6. Step 6: Final answer
    x = 563,771,542.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.