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Finding the Third Proportional to 97,132 and 211,916

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Solution

The third proportional to 97,132 and 211,916 is: 462,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132 : 211,916 = 211,916 : x
  2. Step 2: Convert to fraction form
    97,132/211,916 = 211,916/x
  3. Step 3: Cross multiply
    97,132x = 211,916 × 211,916
  4. Step 4: Simplify right side
    97,132x = 44,908,391,056
  5. Step 5: Solve for x
    x = 44,908,391,056/97,132
  6. Step 6: Final answer
    x = 462,343.93

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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.