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Finding the Third Proportional to 103,092 and 219,792

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Solution

The third proportional to 103,092 and 219,792 is: 468,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092 : 219,792 = 219,792 : x
  2. Step 2: Convert to fraction form
    103,092/219,792 = 219,792/x
  3. Step 3: Cross multiply
    103,092x = 219,792 × 219,792
  4. Step 4: Simplify right side
    103,092x = 48,308,523,264
  5. Step 5: Solve for x
    x = 48,308,523,264/103,092
  6. Step 6: Final answer
    x = 468,596.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.