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Finding the Third Proportional to 44,822.82 and 97,531.51

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Solution

The third proportional to 44,822.82 and 97,531.51 is: 212,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,822.82 : 97,531.51 = 97,531.51 : x
  2. Step 2: Convert to fraction form
    44,822.82/97,531.51 = 97,531.51/x
  3. Step 3: Cross multiply
    44,822.82x = 97,531.51 × 97,531.51
  4. Step 4: Simplify right side
    44,822.82x = 9,512,396,349.62
  5. Step 5: Solve for x
    x = 9,512,396,349.62/44,822.82
  6. Step 6: Final answer
    x = 212,222.17

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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.