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Finding the Third Proportional to 97,092 and 209,790

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Solution

The third proportional to 97,092 and 209,790 is: 453,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092 : 209,790 = 209,790 : x
  2. Step 2: Convert to fraction form
    97,092/209,790 = 209,790/x
  3. Step 3: Cross multiply
    97,092x = 209,790 × 209,790
  4. Step 4: Simplify right side
    97,092x = 44,011,844,100
  5. Step 5: Solve for x
    x = 44,011,844,100/97,092
  6. Step 6: Final answer
    x = 453,300.42

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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.