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Finding the Third Proportional to 92,786 and 198,688

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Solution

The third proportional to 92,786 and 198,688 is: 425,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,786 : 198,688 = 198,688 : x
  2. Step 2: Convert to fraction form
    92,786/198,688 = 198,688/x
  3. Step 3: Cross multiply
    92,786x = 198,688 × 198,688
  4. Step 4: Simplify right side
    92,786x = 39,476,921,344
  5. Step 5: Solve for x
    x = 39,476,921,344/92,786
  6. Step 6: Final answer
    x = 425,462.05

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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.