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Finding the Third Proportional to 97,096.13 and 150,684.75

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Solution

The third proportional to 97,096.13 and 150,684.75 is: 233,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.13 : 150,684.75 = 150,684.75 : x
  2. Step 2: Convert to fraction form
    97,096.13/150,684.75 = 150,684.75/x
  3. Step 3: Cross multiply
    97,096.13x = 150,684.75 × 150,684.75
  4. Step 4: Simplify right side
    97,096.13x = 22,705,893,882.56
  5. Step 5: Solve for x
    x = 22,705,893,882.56/97,096.13
  6. Step 6: Final answer
    x = 233,849.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.