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Finding the Third Proportional to 91,719 and 189,148.50

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Solution

The third proportional to 91,719 and 189,148.50 is: 390,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,719 : 189,148.50 = 189,148.50 : x
  2. Step 2: Convert to fraction form
    91,719/189,148.50 = 189,148.50/x
  3. Step 3: Cross multiply
    91,719x = 189,148.50 × 189,148.50
  4. Step 4: Simplify right side
    91,719x = 35,777,155,052.25
  5. Step 5: Solve for x
    x = 35,777,155,052.25/91,719
  6. Step 6: Final answer
    x = 390,073.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.