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Finding the Third Proportional to 83,455.50 and 185,569.13

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Solution

The third proportional to 83,455.50 and 185,569.13 is: 412,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,455.50 : 185,569.13 = 185,569.13 : x
  2. Step 2: Convert to fraction form
    83,455.50/185,569.13 = 185,569.13/x
  3. Step 3: Cross multiply
    83,455.50x = 185,569.13 × 185,569.13
  4. Step 4: Simplify right side
    83,455.50x = 34,435,900,153.27
  5. Step 5: Solve for x
    x = 34,435,900,153.27/83,455.50
  6. Step 6: Final answer
    x = 412,625.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.