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Finding the Third Proportional to 91,381.50 and 151,402.50

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Solution

The third proportional to 91,381.50 and 151,402.50 is: 250,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,381.50 : 151,402.50 = 151,402.50 : x
  2. Step 2: Convert to fraction form
    91,381.50/151,402.50 = 151,402.50/x
  3. Step 3: Cross multiply
    91,381.50x = 151,402.50 × 151,402.50
  4. Step 4: Simplify right side
    91,381.50x = 22,922,717,006.25
  5. Step 5: Solve for x
    x = 22,922,717,006.25/91,381.50
  6. Step 6: Final answer
    x = 250,846.36

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.