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Finding the Third Proportional to 45,464 and 98,320

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Solution

The third proportional to 45,464 and 98,320 is: 212,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464 : 98,320 = 98,320 : x
  2. Step 2: Convert to fraction form
    45,464/98,320 = 98,320/x
  3. Step 3: Cross multiply
    45,464x = 98,320 × 98,320
  4. Step 4: Simplify right side
    45,464x = 9,666,822,400
  5. Step 5: Solve for x
    x = 9,666,822,400/45,464
  6. Step 6: Final answer
    x = 212,625.87

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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.