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Finding the Third Proportional to 88,199.25 and 190,545.75

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Solution

The third proportional to 88,199.25 and 190,545.75 is: 411,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,199.25 : 190,545.75 = 190,545.75 : x
  2. Step 2: Convert to fraction form
    88,199.25/190,545.75 = 190,545.75/x
  3. Step 3: Cross multiply
    88,199.25x = 190,545.75 × 190,545.75
  4. Step 4: Simplify right side
    88,199.25x = 36,307,682,843.06
  5. Step 5: Solve for x
    x = 36,307,682,843.06/88,199.25
  6. Step 6: Final answer
    x = 411,655.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.