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Finding the Third Proportional to 238,257,895.50 and 516,078,864

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Solution

The third proportional to 238,257,895.50 and 516,078,864 is: 1,117,853,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,257,895.50 : 516,078,864 = 516,078,864 : x
  2. Step 2: Convert to fraction form
    238,257,895.50/516,078,864 = 516,078,864/x
  3. Step 3: Cross multiply
    238,257,895.50x = 516,078,864 × 516,078,864
  4. Step 4: Simplify right side
    238,257,895.50x = 266,337,393,867,530,496
  5. Step 5: Solve for x
    x = 266,337,393,867,530,496/238,257,895.50
  6. Step 6: Final answer
    x = 1,117,853,380.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.