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Finding the Third Proportional to 88,057.13 and 190,471.50

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Solution

The third proportional to 88,057.13 and 190,471.50 is: 411,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,057.13 : 190,471.50 = 190,471.50 : x
  2. Step 2: Convert to fraction form
    88,057.13/190,471.50 = 190,471.50/x
  3. Step 3: Cross multiply
    88,057.13x = 190,471.50 × 190,471.50
  4. Step 4: Simplify right side
    88,057.13x = 36,279,392,312.25
  5. Step 5: Solve for x
    x = 36,279,392,312.25/88,057.13
  6. Step 6: Final answer
    x = 411,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.