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Finding the Third Proportional to 48,512,784 and 105,805,248

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Solution

The third proportional to 48,512,784 and 105,805,248 is: 230,758,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512,784 : 105,805,248 = 105,805,248 : x
  2. Step 2: Convert to fraction form
    48,512,784/105,805,248 = 105,805,248/x
  3. Step 3: Cross multiply
    48,512,784x = 105,805,248 × 105,805,248
  4. Step 4: Simplify right side
    48,512,784x = 11,194,750,504,341,504
  5. Step 5: Solve for x
    x = 11,194,750,504,341,504/48,512,784
  6. Step 6: Final answer
    x = 230,758,772.87

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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.