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Finding the Third Proportional to 88,926 and 209,915.25

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Solution

The third proportional to 88,926 and 209,915.25 is: 495,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,926 : 209,915.25 = 209,915.25 : x
  2. Step 2: Convert to fraction form
    88,926/209,915.25 = 209,915.25/x
  3. Step 3: Cross multiply
    88,926x = 209,915.25 × 209,915.25
  4. Step 4: Simplify right side
    88,926x = 44,064,412,182.56
  5. Step 5: Solve for x
    x = 44,064,412,182.56/88,926
  6. Step 6: Final answer
    x = 495,517.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.