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Finding the Third Proportional to 87,930.56 and 207,362.53

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Solution

The third proportional to 87,930.56 and 207,362.53 is: 489,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,930.56 : 207,362.53 = 207,362.53 : x
  2. Step 2: Convert to fraction form
    87,930.56/207,362.53 = 207,362.53/x
  3. Step 3: Cross multiply
    87,930.56x = 207,362.53 × 207,362.53
  4. Step 4: Simplify right side
    87,930.56x = 42,999,219,366.41
  5. Step 5: Solve for x
    x = 42,999,219,366.41/87,930.56
  6. Step 6: Final answer
    x = 489,013.35

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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.