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Finding the Third Proportional to 97,150 and 209,612

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Solution

The third proportional to 97,150 and 209,612 is: 452,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,150 : 209,612 = 209,612 : x
  2. Step 2: Convert to fraction form
    97,150/209,612 = 209,612/x
  3. Step 3: Cross multiply
    97,150x = 209,612 × 209,612
  4. Step 4: Simplify right side
    97,150x = 43,937,190,544
  5. Step 5: Solve for x
    x = 43,937,190,544/97,150
  6. Step 6: Final answer
    x = 452,261.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.