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Finding the Third Proportional to 48,192,984 and 105,951,874.50

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Solution

The third proportional to 48,192,984 and 105,951,874.50 is: 232,934,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192,984 : 105,951,874.50 = 105,951,874.50 : x
  2. Step 2: Convert to fraction form
    48,192,984/105,951,874.50 = 105,951,874.50/x
  3. Step 3: Cross multiply
    48,192,984x = 105,951,874.50 × 105,951,874.50
  4. Step 4: Simplify right side
    48,192,984x = 11,225,799,710,063,750
  5. Step 5: Solve for x
    x = 11,225,799,710,063,750/48,192,984
  6. Step 6: Final answer
    x = 232,934,314.88

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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.