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Finding the Third Proportional to 48,011,592 and 105,129,848

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Solution

The third proportional to 48,011,592 and 105,129,848 is: 230,200,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011,592 : 105,129,848 = 105,129,848 : x
  2. Step 2: Convert to fraction form
    48,011,592/105,129,848 = 105,129,848/x
  3. Step 3: Cross multiply
    48,011,592x = 105,129,848 × 105,129,848
  4. Step 4: Simplify right side
    48,011,592x = 11,052,284,940,503,104
  5. Step 5: Solve for x
    x = 11,052,284,940,503,104/48,011,592
  6. Step 6: Final answer
    x = 230,200,342.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.