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Finding the Third Proportional to 45,123.75 and 97,243.03

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Solution

The third proportional to 45,123.75 and 97,243.03 is: 209,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.75 : 97,243.03 = 97,243.03 : x
  2. Step 2: Convert to fraction form
    45,123.75/97,243.03 = 97,243.03/x
  3. Step 3: Cross multiply
    45,123.75x = 97,243.03 × 97,243.03
  4. Step 4: Simplify right side
    45,123.75x = 9,456,207,126.69
  5. Step 5: Solve for x
    x = 9,456,207,126.69/45,123.75
  6. Step 6: Final answer
    x = 209,561.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.