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Finding the Third Proportional to 88,483 and 191,042

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Solution

The third proportional to 88,483 and 191,042 is: 412,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,483 : 191,042 = 191,042 : x
  2. Step 2: Convert to fraction form
    88,483/191,042 = 191,042/x
  3. Step 3: Cross multiply
    88,483x = 191,042 × 191,042
  4. Step 4: Simplify right side
    88,483x = 36,497,045,764
  5. Step 5: Solve for x
    x = 36,497,045,764/88,483
  6. Step 6: Final answer
    x = 412,475.23

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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.