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Finding the Third Proportional to 97,101 and 207,695

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Solution

The third proportional to 97,101 and 207,695 is: 444,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,101 : 207,695 = 207,695 : x
  2. Step 2: Convert to fraction form
    97,101/207,695 = 207,695/x
  3. Step 3: Cross multiply
    97,101x = 207,695 × 207,695
  4. Step 4: Simplify right side
    97,101x = 43,137,213,025
  5. Step 5: Solve for x
    x = 43,137,213,025/97,101
  6. Step 6: Final answer
    x = 444,250.97

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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.