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Finding the Third Proportional to 97,332 and 207,210

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Solution

The third proportional to 97,332 and 207,210 is: 441,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,332 : 207,210 = 207,210 : x
  2. Step 2: Convert to fraction form
    97,332/207,210 = 207,210/x
  3. Step 3: Cross multiply
    97,332x = 207,210 × 207,210
  4. Step 4: Simplify right side
    97,332x = 42,935,984,100
  5. Step 5: Solve for x
    x = 42,935,984,100/97,332
  6. Step 6: Final answer
    x = 441,129.17

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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.