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Finding the Third Proportional to 92,047 and 198,585

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Solution

The third proportional to 92,047 and 198,585 is: 428,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,047 : 198,585 = 198,585 : x
  2. Step 2: Convert to fraction form
    92,047/198,585 = 198,585/x
  3. Step 3: Cross multiply
    92,047x = 198,585 × 198,585
  4. Step 4: Simplify right side
    92,047x = 39,436,002,225
  5. Step 5: Solve for x
    x = 39,436,002,225/92,047
  6. Step 6: Final answer
    x = 428,433.32

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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.