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Finding the Third Proportional to 96,549 and 202,332

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Solution

The third proportional to 96,549 and 202,332 is: 424,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,549 : 202,332 = 202,332 : x
  2. Step 2: Convert to fraction form
    96,549/202,332 = 202,332/x
  3. Step 3: Cross multiply
    96,549x = 202,332 × 202,332
  4. Step 4: Simplify right side
    96,549x = 40,938,238,224
  5. Step 5: Solve for x
    x = 40,938,238,224/96,549
  6. Step 6: Final answer
    x = 424,015.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.