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Finding the Third Proportional to 88,915.50 and 209,893.50

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Solution

The third proportional to 88,915.50 and 209,893.50 is: 495,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,915.50 : 209,893.50 = 209,893.50 : x
  2. Step 2: Convert to fraction form
    88,915.50/209,893.50 = 209,893.50/x
  3. Step 3: Cross multiply
    88,915.50x = 209,893.50 × 209,893.50
  4. Step 4: Simplify right side
    88,915.50x = 44,055,281,342.25
  5. Step 5: Solve for x
    x = 44,055,281,342.25/88,915.50
  6. Step 6: Final answer
    x = 495,473.58

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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.