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Finding the Third Proportional to 97,160 and 209,632

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Solution

The third proportional to 97,160 and 209,632 is: 452,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,160 : 209,632 = 209,632 : x
  2. Step 2: Convert to fraction form
    97,160/209,632 = 209,632/x
  3. Step 3: Cross multiply
    97,160x = 209,632 × 209,632
  4. Step 4: Simplify right side
    97,160x = 43,945,575,424
  5. Step 5: Solve for x
    x = 43,945,575,424/97,160
  6. Step 6: Final answer
    x = 452,301.11

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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.