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Finding the Third Proportional to 92,146 and 198,460

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Solution

The third proportional to 92,146 and 198,460 is: 427,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146 : 198,460 = 198,460 : x
  2. Step 2: Convert to fraction form
    92,146/198,460 = 198,460/x
  3. Step 3: Cross multiply
    92,146x = 198,460 × 198,460
  4. Step 4: Simplify right side
    92,146x = 39,386,371,600
  5. Step 5: Solve for x
    x = 39,386,371,600/92,146
  6. Step 6: Final answer
    x = 427,434.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.