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Finding the Third Proportional to 87,499.93 and 190,838.53

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Solution

The third proportional to 87,499.93 and 190,838.53 is: 416,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,499.93 : 190,838.53 = 190,838.53 : x
  2. Step 2: Convert to fraction form
    87,499.93/190,838.53 = 190,838.53/x
  3. Step 3: Cross multiply
    87,499.93x = 190,838.53 × 190,838.53
  4. Step 4: Simplify right side
    87,499.93x = 36,419,345,009.66
  5. Step 5: Solve for x
    x = 36,419,345,009.66/87,499.93
  6. Step 6: Final answer
    x = 416,221.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.