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Finding the Third Proportional to 103,897.69 and 155,616.19

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Solution

The third proportional to 103,897.69 and 155,616.19 is: 233,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,897.69 : 155,616.19 = 155,616.19 : x
  2. Step 2: Convert to fraction form
    103,897.69/155,616.19 = 155,616.19/x
  3. Step 3: Cross multiply
    103,897.69x = 155,616.19 × 155,616.19
  4. Step 4: Simplify right side
    103,897.69x = 24,216,397,812.04
  5. Step 5: Solve for x
    x = 24,216,397,812.04/103,897.69
  6. Step 6: Final answer
    x = 233,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.