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Finding the Third Proportional to 48,512,808 and 105,805,296

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Solution

The third proportional to 48,512,808 and 105,805,296 is: 230,758,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512,808 : 105,805,296 = 105,805,296 : x
  2. Step 2: Convert to fraction form
    48,512,808/105,805,296 = 105,805,296/x
  3. Step 3: Cross multiply
    48,512,808x = 105,805,296 × 105,805,296
  4. Step 4: Simplify right side
    48,512,808x = 11,194,760,661,647,616
  5. Step 5: Solve for x
    x = 11,194,760,661,647,616/48,512,808
  6. Step 6: Final answer
    x = 230,758,868.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.