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Finding the Third Proportional to 157,192.88 and 222,211.13

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Solution

The third proportional to 157,192.88 and 222,211.13 is: 314,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,192.88 : 222,211.13 = 222,211.13 : x
  2. Step 2: Convert to fraction form
    157,192.88/222,211.13 = 222,211.13/x
  3. Step 3: Cross multiply
    157,192.88x = 222,211.13 × 222,211.13
  4. Step 4: Simplify right side
    157,192.88x = 49,377,784,073.77
  5. Step 5: Solve for x
    x = 49,377,784,073.77/157,192.88
  6. Step 6: Final answer
    x = 314,122.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.