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Finding the Third Proportional to 239,807,076 and 524,817,906.75

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Solution

The third proportional to 239,807,076 and 524,817,906.75 is: 1,148,564,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,807,076 : 524,817,906.75 = 524,817,906.75 : x
  2. Step 2: Convert to fraction form
    239,807,076/524,817,906.75 = 524,817,906.75/x
  3. Step 3: Cross multiply
    239,807,076x = 524,817,906.75 × 524,817,906.75
  4. Step 4: Simplify right side
    239,807,076x = 275,433,835,245,451,680
  5. Step 5: Solve for x
    x = 275,433,835,245,451,680/239,807,076
  6. Step 6: Final answer
    x = 1,148,564,253.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.