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Finding the Third Proportional to 48,011,616 and 105,129,900

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Solution

The third proportional to 48,011,616 and 105,129,900 is: 230,200,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011,616 : 105,129,900 = 105,129,900 : x
  2. Step 2: Convert to fraction form
    48,011,616/105,129,900 = 105,129,900/x
  3. Step 3: Cross multiply
    48,011,616x = 105,129,900 × 105,129,900
  4. Step 4: Simplify right side
    48,011,616x = 11,052,295,874,010,000
  5. Step 5: Solve for x
    x = 11,052,295,874,010,000/48,011,616
  6. Step 6: Final answer
    x = 230,200,455.53

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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.