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Finding the Third Proportional to 97,330 and 207,206

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Solution

The third proportional to 97,330 and 207,206 is: 441,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,330 : 207,206 = 207,206 : x
  2. Step 2: Convert to fraction form
    97,330/207,206 = 207,206/x
  3. Step 3: Cross multiply
    97,330x = 207,206 × 207,206
  4. Step 4: Simplify right side
    97,330x = 42,934,326,436
  5. Step 5: Solve for x
    x = 42,934,326,436/97,330
  6. Step 6: Final answer
    x = 441,121.20

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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.