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Finding the Third Proportional to 92,511 and 198,140

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Solution

The third proportional to 92,511 and 198,140 is: 424,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,511 : 198,140 = 198,140 : x
  2. Step 2: Convert to fraction form
    92,511/198,140 = 198,140/x
  3. Step 3: Cross multiply
    92,511x = 198,140 × 198,140
  4. Step 4: Simplify right side
    92,511x = 39,259,459,600
  5. Step 5: Solve for x
    x = 39,259,459,600/92,511
  6. Step 6: Final answer
    x = 424,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.