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Finding the Third Proportional to 97,895 and 213,765

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Solution

The third proportional to 97,895 and 213,765 is: 466,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,895 : 213,765 = 213,765 : x
  2. Step 2: Convert to fraction form
    97,895/213,765 = 213,765/x
  3. Step 3: Cross multiply
    97,895x = 213,765 × 213,765
  4. Step 4: Simplify right side
    97,895x = 45,695,475,225
  5. Step 5: Solve for x
    x = 45,695,475,225/97,895
  6. Step 6: Final answer
    x = 466,780.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.