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Finding the Third Proportional to 48,512,788 and 105,805,256

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Solution

The third proportional to 48,512,788 and 105,805,256 is: 230,758,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512,788 : 105,805,256 = 105,805,256 : x
  2. Step 2: Convert to fraction form
    48,512,788/105,805,256 = 105,805,256/x
  3. Step 3: Cross multiply
    48,512,788x = 105,805,256 × 105,805,256
  4. Step 4: Simplify right side
    48,512,788x = 11,194,752,197,225,536
  5. Step 5: Solve for x
    x = 11,194,752,197,225,536/48,512,788
  6. Step 6: Final answer
    x = 230,758,788.74

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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.