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Finding the Third Proportional to 68,550,786 and 100,199,106

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Solution

The third proportional to 68,550,786 and 100,199,106 is: 146,458,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,550,786 : 100,199,106 = 100,199,106 : x
  2. Step 2: Convert to fraction form
    68,550,786/100,199,106 = 100,199,106/x
  3. Step 3: Cross multiply
    68,550,786x = 100,199,106 × 100,199,106
  4. Step 4: Simplify right side
    68,550,786x = 10,039,860,843,199,236
  5. Step 5: Solve for x
    x = 10,039,860,843,199,236/68,550,786
  6. Step 6: Final answer
    x = 146,458,726.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.