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Finding the Third Proportional to 45,729.56 and 97,731.56

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Solution

The third proportional to 45,729.56 and 97,731.56 is: 208,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,729.56 : 97,731.56 = 97,731.56 : x
  2. Step 2: Convert to fraction form
    45,729.56/97,731.56 = 97,731.56/x
  3. Step 3: Cross multiply
    45,729.56x = 97,731.56 × 97,731.56
  4. Step 4: Simplify right side
    45,729.56x = 9,551,458,308.69
  5. Step 5: Solve for x
    x = 9,551,458,308.69/45,729.56
  6. Step 6: Final answer
    x = 208,868.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.