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Finding the Third Proportional to 42,098 and 98,363

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Solution

The third proportional to 42,098 and 98,363 is: 229,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,098 : 98,363 = 98,363 : x
  2. Step 2: Convert to fraction form
    42,098/98,363 = 98,363/x
  3. Step 3: Cross multiply
    42,098x = 98,363 × 98,363
  4. Step 4: Simplify right side
    42,098x = 9,675,279,769
  5. Step 5: Solve for x
    x = 9,675,279,769/42,098
  6. Step 6: Final answer
    x = 229,827.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.