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Finding the Third Proportional to 97,216 and 149,963

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Solution

The third proportional to 97,216 and 149,963 is: 231,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,216 : 149,963 = 149,963 : x
  2. Step 2: Convert to fraction form
    97,216/149,963 = 149,963/x
  3. Step 3: Cross multiply
    97,216x = 149,963 × 149,963
  4. Step 4: Simplify right side
    97,216x = 22,488,901,369
  5. Step 5: Solve for x
    x = 22,488,901,369/97,216
  6. Step 6: Final answer
    x = 231,329.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.