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Finding the Third Proportional to 45,230 and 99,483

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Solution

The third proportional to 45,230 and 99,483 is: 218,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,230 : 99,483 = 99,483 : x
  2. Step 2: Convert to fraction form
    45,230/99,483 = 99,483/x
  3. Step 3: Cross multiply
    45,230x = 99,483 × 99,483
  4. Step 4: Simplify right side
    45,230x = 9,896,867,289
  5. Step 5: Solve for x
    x = 9,896,867,289/45,230
  6. Step 6: Final answer
    x = 218,812.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.