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Finding the Third Proportional to 48,867,912 and 96,502,320

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Solution

The third proportional to 48,867,912 and 96,502,320 is: 190,568,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867,912 : 96,502,320 = 96,502,320 : x
  2. Step 2: Convert to fraction form
    48,867,912/96,502,320 = 96,502,320/x
  3. Step 3: Cross multiply
    48,867,912x = 96,502,320 × 96,502,320
  4. Step 4: Simplify right side
    48,867,912x = 9,312,697,765,382,400
  5. Step 5: Solve for x
    x = 9,312,697,765,382,400/48,867,912
  6. Step 6: Final answer
    x = 190,568,767.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.