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Finding the Third Proportional to 87,466.50 and 181,156.50

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Solution

The third proportional to 87,466.50 and 181,156.50 is: 375,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,466.50 : 181,156.50 = 181,156.50 : x
  2. Step 2: Convert to fraction form
    87,466.50/181,156.50 = 181,156.50/x
  3. Step 3: Cross multiply
    87,466.50x = 181,156.50 × 181,156.50
  4. Step 4: Simplify right side
    87,466.50x = 32,817,677,492.25
  5. Step 5: Solve for x
    x = 32,817,677,492.25/87,466.50
  6. Step 6: Final answer
    x = 375,202.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.