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Finding the Third Proportional to 45,233.44 and 97,453.13

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Solution

The third proportional to 45,233.44 and 97,453.13 is: 209,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,233.44 : 97,453.13 = 97,453.13 : x
  2. Step 2: Convert to fraction form
    45,233.44/97,453.13 = 97,453.13/x
  3. Step 3: Cross multiply
    45,233.44x = 97,453.13 × 97,453.13
  4. Step 4: Simplify right side
    45,233.44x = 9,497,111,572.27
  5. Step 5: Solve for x
    x = 9,497,111,572.27/45,233.44
  6. Step 6: Final answer
    x = 209,957.77

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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.