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Finding the Third Proportional to 97,401.94 and 145,710.84

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Solution

The third proportional to 97,401.94 and 145,710.84 is: 217,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,401.94 : 145,710.84 = 145,710.84 : x
  2. Step 2: Convert to fraction form
    97,401.94/145,710.84 = 145,710.84/x
  3. Step 3: Cross multiply
    97,401.94x = 145,710.84 × 145,710.84
  4. Step 4: Simplify right side
    97,401.94x = 21,231,649,986.34
  5. Step 5: Solve for x
    x = 21,231,649,986.34/97,401.94
  6. Step 6: Final answer
    x = 217,979.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.