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Finding the Third Proportional to 48,867,920 and 96,502,336

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Solution

The third proportional to 48,867,920 and 96,502,336 is: 190,568,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867,920 : 96,502,336 = 96,502,336 : x
  2. Step 2: Convert to fraction form
    48,867,920/96,502,336 = 96,502,336/x
  3. Step 3: Cross multiply
    48,867,920x = 96,502,336 × 96,502,336
  4. Step 4: Simplify right side
    48,867,920x = 9,312,700,853,456,896
  5. Step 5: Solve for x
    x = 9,312,700,853,456,896/48,867,920
  6. Step 6: Final answer
    x = 190,568,799.60

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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.