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Finding the Third Proportional to 48,222 and 105,349.50

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Solution

The third proportional to 48,222 and 105,349.50 is: 230,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 105,349.50 = 105,349.50 : x
  2. Step 2: Convert to fraction form
    48,222/105,349.50 = 105,349.50/x
  3. Step 3: Cross multiply
    48,222x = 105,349.50 × 105,349.50
  4. Step 4: Simplify right side
    48,222x = 11,098,517,150.25
  5. Step 5: Solve for x
    x = 11,098,517,150.25/48,222
  6. Step 6: Final answer
    x = 230,154.64

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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.