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Finding the Third Proportional to 48,867,914 and 96,502,324

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Solution

The third proportional to 48,867,914 and 96,502,324 is: 190,568,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867,914 : 96,502,324 = 96,502,324 : x
  2. Step 2: Convert to fraction form
    48,867,914/96,502,324 = 96,502,324/x
  3. Step 3: Cross multiply
    48,867,914x = 96,502,324 × 96,502,324
  4. Step 4: Simplify right side
    48,867,914x = 9,312,698,537,400,976
  5. Step 5: Solve for x
    x = 9,312,698,537,400,976/48,867,914
  6. Step 6: Final answer
    x = 190,568,775.61

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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.