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Finding the Third Proportional to 41,444.50 and 88,706

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Solution

The third proportional to 41,444.50 and 88,706 is: 189,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,444.50 : 88,706 = 88,706 : x
  2. Step 2: Convert to fraction form
    41,444.50/88,706 = 88,706/x
  3. Step 3: Cross multiply
    41,444.50x = 88,706 × 88,706
  4. Step 4: Simplify right side
    41,444.50x = 7,868,754,436
  5. Step 5: Solve for x
    x = 7,868,754,436/41,444.50
  6. Step 6: Final answer
    x = 189,862.45

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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.