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Finding the Third Proportional to 88,390 and 190,898

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Solution

The third proportional to 88,390 and 190,898 is: 412,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,390 : 190,898 = 190,898 : x
  2. Step 2: Convert to fraction form
    88,390/190,898 = 190,898/x
  3. Step 3: Cross multiply
    88,390x = 190,898 × 190,898
  4. Step 4: Simplify right side
    88,390x = 36,442,046,404
  5. Step 5: Solve for x
    x = 36,442,046,404/88,390
  6. Step 6: Final answer
    x = 412,286.98

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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.