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Finding the Third Proportional to 48,192,853.50 and 105,951,640.50

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Solution

The third proportional to 48,192,853.50 and 105,951,640.50 is: 232,933,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192,853.50 : 105,951,640.50 = 105,951,640.50 : x
  2. Step 2: Convert to fraction form
    48,192,853.50/105,951,640.50 = 105,951,640.50/x
  3. Step 3: Cross multiply
    48,192,853.50x = 105,951,640.50 × 105,951,640.50
  4. Step 4: Simplify right side
    48,192,853.50x = 11,225,750,124,641,240
  5. Step 5: Solve for x
    x = 11,225,750,124,641,240/48,192,853.50
  6. Step 6: Final answer
    x = 232,933,916.74

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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.