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Finding the Third Proportional to 91,248.50 and 195,107.50

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Solution

The third proportional to 91,248.50 and 195,107.50 is: 417,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,248.50 : 195,107.50 = 195,107.50 : x
  2. Step 2: Convert to fraction form
    91,248.50/195,107.50 = 195,107.50/x
  3. Step 3: Cross multiply
    91,248.50x = 195,107.50 × 195,107.50
  4. Step 4: Simplify right side
    91,248.50x = 38,066,936,556.25
  5. Step 5: Solve for x
    x = 38,066,936,556.25/91,248.50
  6. Step 6: Final answer
    x = 417,178.77

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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.