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Finding the Third Proportional to 88,691 and 190,503

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Solution

The third proportional to 88,691 and 190,503 is: 409,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,691 : 190,503 = 190,503 : x
  2. Step 2: Convert to fraction form
    88,691/190,503 = 190,503/x
  3. Step 3: Cross multiply
    88,691x = 190,503 × 190,503
  4. Step 4: Simplify right side
    88,691x = 36,291,393,009
  5. Step 5: Solve for x
    x = 36,291,393,009/88,691
  6. Step 6: Final answer
    x = 409,189.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.