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Finding the Third Proportional to 49,548,792 and 106,690,848

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Solution

The third proportional to 49,548,792 and 106,690,848 is: 229,731,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548,792 : 106,690,848 = 106,690,848 : x
  2. Step 2: Convert to fraction form
    49,548,792/106,690,848 = 106,690,848/x
  3. Step 3: Cross multiply
    49,548,792x = 106,690,848 × 106,690,848
  4. Step 4: Simplify right side
    49,548,792x = 11,382,937,046,959,104
  5. Step 5: Solve for x
    x = 11,382,937,046,959,104/49,548,792
  6. Step 6: Final answer
    x = 229,731,878.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.