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Finding the Third Proportional to 88,659 and 189,774

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Solution

The third proportional to 88,659 and 189,774 is: 406,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,659 : 189,774 = 189,774 : x
  2. Step 2: Convert to fraction form
    88,659/189,774 = 189,774/x
  3. Step 3: Cross multiply
    88,659x = 189,774 × 189,774
  4. Step 4: Simplify right side
    88,659x = 36,014,171,076
  5. Step 5: Solve for x
    x = 36,014,171,076/88,659
  6. Step 6: Final answer
    x = 406,209.99

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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.