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Finding the Third Proportional to 53,800,929 and 85,649,676

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Solution

The third proportional to 53,800,929 and 85,649,676 is: 136,352,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800,929 : 85,649,676 = 85,649,676 : x
  2. Step 2: Convert to fraction form
    53,800,929/85,649,676 = 85,649,676/x
  3. Step 3: Cross multiply
    53,800,929x = 85,649,676 × 85,649,676
  4. Step 4: Simplify right side
    53,800,929x = 7,335,866,998,904,976
  5. Step 5: Solve for x
    x = 7,335,866,998,904,976/53,800,929
  6. Step 6: Final answer
    x = 136,352,050.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.