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Finding the Third Proportional to 45,223.31 and 97,326.56

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Solution

The third proportional to 45,223.31 and 97,326.56 is: 209,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,223.31 : 97,326.56 = 97,326.56 : x
  2. Step 2: Convert to fraction form
    45,223.31/97,326.56 = 97,326.56/x
  3. Step 3: Cross multiply
    45,223.31x = 97,326.56 × 97,326.56
  4. Step 4: Simplify right side
    45,223.31x = 9,472,459,768.07
  5. Step 5: Solve for x
    x = 9,472,459,768.07/45,223.31
  6. Step 6: Final answer
    x = 209,459.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.