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Finding the Third Proportional to 97,292 and 213,038

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Solution

The third proportional to 97,292 and 213,038 is: 466,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,292 : 213,038 = 213,038 : x
  2. Step 2: Convert to fraction form
    97,292/213,038 = 213,038/x
  3. Step 3: Cross multiply
    97,292x = 213,038 × 213,038
  4. Step 4: Simplify right side
    97,292x = 45,385,189,444
  5. Step 5: Solve for x
    x = 45,385,189,444/97,292
  6. Step 6: Final answer
    x = 466,484.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.