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Finding the Third Proportional to 92,348 and 199,464

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Solution

The third proportional to 92,348 and 199,464 is: 430,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,348 : 199,464 = 199,464 : x
  2. Step 2: Convert to fraction form
    92,348/199,464 = 199,464/x
  3. Step 3: Cross multiply
    92,348x = 199,464 × 199,464
  4. Step 4: Simplify right side
    92,348x = 39,785,887,296
  5. Step 5: Solve for x
    x = 39,785,887,296/92,348
  6. Step 6: Final answer
    x = 430,825.65

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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.