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Finding the Third Proportional to 90,464.77 and 133,066.13

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Solution

The third proportional to 90,464.77 and 133,066.13 is: 195,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,464.77 : 133,066.13 = 133,066.13 : x
  2. Step 2: Convert to fraction form
    90,464.77/133,066.13 = 133,066.13/x
  3. Step 3: Cross multiply
    90,464.77x = 133,066.13 × 133,066.13
  4. Step 4: Simplify right side
    90,464.77x = 17,706,593,622.52
  5. Step 5: Solve for x
    x = 17,706,593,622.52/90,464.77
  6. Step 6: Final answer
    x = 195,729.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.