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Finding the Third Proportional to 88,647.75 and 189,749.25

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Solution

The third proportional to 88,647.75 and 189,749.25 is: 406,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,647.75 : 189,749.25 = 189,749.25 : x
  2. Step 2: Convert to fraction form
    88,647.75/189,749.25 = 189,749.25/x
  3. Step 3: Cross multiply
    88,647.75x = 189,749.25 × 189,749.25
  4. Step 4: Simplify right side
    88,647.75x = 36,004,777,875.56
  5. Step 5: Solve for x
    x = 36,004,777,875.56/88,647.75
  6. Step 6: Final answer
    x = 406,155.58

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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.