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Finding the Third Proportional to 103,206.38 and 152,895.94

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Solution

The third proportional to 103,206.38 and 152,895.94 is: 226,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206.38 : 152,895.94 = 152,895.94 : x
  2. Step 2: Convert to fraction form
    103,206.38/152,895.94 = 152,895.94/x
  3. Step 3: Cross multiply
    103,206.38x = 152,895.94 × 152,895.94
  4. Step 4: Simplify right side
    103,206.38x = 23,377,167,704.00
  5. Step 5: Solve for x
    x = 23,377,167,704.00/103,206.38
  6. Step 6: Final answer
    x = 226,508.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.