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Finding the Third Proportional to 91,653.75 and 195,403.50

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Solution

The third proportional to 91,653.75 and 195,403.50 is: 416,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,653.75 : 195,403.50 = 195,403.50 : x
  2. Step 2: Convert to fraction form
    91,653.75/195,403.50 = 195,403.50/x
  3. Step 3: Cross multiply
    91,653.75x = 195,403.50 × 195,403.50
  4. Step 4: Simplify right side
    91,653.75x = 38,182,527,812.25
  5. Step 5: Solve for x
    x = 38,182,527,812.25/91,653.75
  6. Step 6: Final answer
    x = 416,595.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.