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Finding the Third Proportional to 105,162 and 229,354.50

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Solution

The third proportional to 105,162 and 229,354.50 is: 500,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162 : 229,354.50 = 229,354.50 : x
  2. Step 2: Convert to fraction form
    105,162/229,354.50 = 229,354.50/x
  3. Step 3: Cross multiply
    105,162x = 229,354.50 × 229,354.50
  4. Step 4: Simplify right side
    105,162x = 52,603,486,670.25
  5. Step 5: Solve for x
    x = 52,603,486,670.25/105,162
  6. Step 6: Final answer
    x = 500,213.83

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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.