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Finding the Third Proportional to 88,219.50 and 133,151.06

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Solution

The third proportional to 88,219.50 and 133,151.06 is: 200,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,219.50 : 133,151.06 = 133,151.06 : x
  2. Step 2: Convert to fraction form
    88,219.50/133,151.06 = 133,151.06/x
  3. Step 3: Cross multiply
    88,219.50x = 133,151.06 × 133,151.06
  4. Step 4: Simplify right side
    88,219.50x = 17,729,205,444.88
  5. Step 5: Solve for x
    x = 17,729,205,444.88/88,219.50
  6. Step 6: Final answer
    x = 200,966.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.