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Finding the Third Proportional to 97,074 and 207,646

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Solution

The third proportional to 97,074 and 207,646 is: 444,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 207,646 = 207,646 : x
  2. Step 2: Convert to fraction form
    97,074/207,646 = 207,646/x
  3. Step 3: Cross multiply
    97,074x = 207,646 × 207,646
  4. Step 4: Simplify right side
    97,074x = 43,116,861,316
  5. Step 5: Solve for x
    x = 43,116,861,316/97,074
  6. Step 6: Final answer
    x = 444,164.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.