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Finding the Third Proportional to 91,856.88 and 196,835.75

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Solution

The third proportional to 91,856.88 and 196,835.75 is: 421,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,856.88 : 196,835.75 = 196,835.75 : x
  2. Step 2: Convert to fraction form
    91,856.88/196,835.75 = 196,835.75/x
  3. Step 3: Cross multiply
    91,856.88x = 196,835.75 × 196,835.75
  4. Step 4: Simplify right side
    91,856.88x = 38,744,312,478.06
  5. Step 5: Solve for x
    x = 38,744,312,478.06/91,856.88
  6. Step 6: Final answer
    x = 421,790.01

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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.