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Finding the Third Proportional to 88,692 and 190,508

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Solution

The third proportional to 88,692 and 190,508 is: 409,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,692 : 190,508 = 190,508 : x
  2. Step 2: Convert to fraction form
    88,692/190,508 = 190,508/x
  3. Step 3: Cross multiply
    88,692x = 190,508 × 190,508
  4. Step 4: Simplify right side
    88,692x = 36,293,298,064
  5. Step 5: Solve for x
    x = 36,293,298,064/88,692
  6. Step 6: Final answer
    x = 409,205.99

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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.