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Finding the Third Proportional to 96,423.75 and 197,545.50

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Solution

The third proportional to 96,423.75 and 197,545.50 is: 404,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,423.75 : 197,545.50 = 197,545.50 : x
  2. Step 2: Convert to fraction form
    96,423.75/197,545.50 = 197,545.50/x
  3. Step 3: Cross multiply
    96,423.75x = 197,545.50 × 197,545.50
  4. Step 4: Simplify right side
    96,423.75x = 39,024,224,570.25
  5. Step 5: Solve for x
    x = 39,024,224,570.25/96,423.75
  6. Step 6: Final answer
    x = 404,715.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.