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Finding the Third Proportional to 85,876.13 and 183,545.44

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Solution

The third proportional to 85,876.13 and 183,545.44 is: 392,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876.13 : 183,545.44 = 183,545.44 : x
  2. Step 2: Convert to fraction form
    85,876.13/183,545.44 = 183,545.44/x
  3. Step 3: Cross multiply
    85,876.13x = 183,545.44 × 183,545.44
  4. Step 4: Simplify right side
    85,876.13x = 33,688,927,627.07
  5. Step 5: Solve for x
    x = 33,688,927,627.07/85,876.13
  6. Step 6: Final answer
    x = 392,296.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.