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Finding the Third Proportional to 97,382 and 207,319

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Solution

The third proportional to 97,382 and 207,319 is: 441,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382 : 207,319 = 207,319 : x
  2. Step 2: Convert to fraction form
    97,382/207,319 = 207,319/x
  3. Step 3: Cross multiply
    97,382x = 207,319 × 207,319
  4. Step 4: Simplify right side
    97,382x = 42,981,167,761
  5. Step 5: Solve for x
    x = 42,981,167,761/97,382
  6. Step 6: Final answer
    x = 441,366.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.