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Finding the Third Proportional to 87,008.50 and 190,824.50

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Solution

The third proportional to 87,008.50 and 190,824.50 is: 418,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008.50 : 190,824.50 = 190,824.50 : x
  2. Step 2: Convert to fraction form
    87,008.50/190,824.50 = 190,824.50/x
  3. Step 3: Cross multiply
    87,008.50x = 190,824.50 × 190,824.50
  4. Step 4: Simplify right side
    87,008.50x = 36,413,989,800.25
  5. Step 5: Solve for x
    x = 36,413,989,800.25/87,008.50
  6. Step 6: Final answer
    x = 418,510.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.