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Finding the Third Proportional to 45,304.75 and 97,170.75

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Solution

The third proportional to 45,304.75 and 97,170.75 is: 208,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304.75 : 97,170.75 = 97,170.75 : x
  2. Step 2: Convert to fraction form
    45,304.75/97,170.75 = 97,170.75/x
  3. Step 3: Cross multiply
    45,304.75x = 97,170.75 × 97,170.75
  4. Step 4: Simplify right side
    45,304.75x = 9,442,154,655.56
  5. Step 5: Solve for x
    x = 9,442,154,655.56/45,304.75
  6. Step 6: Final answer
    x = 208,414.23

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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.