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Finding the Third Proportional to 88,930.50 and 209,926.50

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Solution

The third proportional to 88,930.50 and 209,926.50 is: 495,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,930.50 : 209,926.50 = 209,926.50 : x
  2. Step 2: Convert to fraction form
    88,930.50/209,926.50 = 209,926.50/x
  3. Step 3: Cross multiply
    88,930.50x = 209,926.50 × 209,926.50
  4. Step 4: Simplify right side
    88,930.50x = 44,069,135,402.25
  5. Step 5: Solve for x
    x = 44,069,135,402.25/88,930.50
  6. Step 6: Final answer
    x = 495,545.80

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Why These Related Problems?

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