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Finding the Third Proportional to 102,988.13 and 155,935.13

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Solution

The third proportional to 102,988.13 and 155,935.13 is: 236,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,988.13 : 155,935.13 = 155,935.13 : x
  2. Step 2: Convert to fraction form
    102,988.13/155,935.13 = 155,935.13/x
  3. Step 3: Cross multiply
    102,988.13x = 155,935.13 × 155,935.13
  4. Step 4: Simplify right side
    102,988.13x = 24,315,763,208.77
  5. Step 5: Solve for x
    x = 24,315,763,208.77/102,988.13
  6. Step 6: Final answer
    x = 236,102.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.