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Finding the Third Proportional to 105,182 and 229,401.50

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Solution

The third proportional to 105,182 and 229,401.50 is: 500,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,182 : 229,401.50 = 229,401.50 : x
  2. Step 2: Convert to fraction form
    105,182/229,401.50 = 229,401.50/x
  3. Step 3: Cross multiply
    105,182x = 229,401.50 × 229,401.50
  4. Step 4: Simplify right side
    105,182x = 52,625,048,202.25
  5. Step 5: Solve for x
    x = 52,625,048,202.25/105,182
  6. Step 6: Final answer
    x = 500,323.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.