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Finding the Third Proportional to 82,408,837.50 and 127,544,449.50

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Solution

The third proportional to 82,408,837.50 and 127,544,449.50 is: 197,400,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408,837.50 : 127,544,449.50 = 127,544,449.50 : x
  2. Step 2: Convert to fraction form
    82,408,837.50/127,544,449.50 = 127,544,449.50/x
  3. Step 3: Cross multiply
    82,408,837.50x = 127,544,449.50 × 127,544,449.50
  4. Step 4: Simplify right side
    82,408,837.50x = 16,267,586,598,258,050
  5. Step 5: Solve for x
    x = 16,267,586,598,258,050/82,408,837.50
  6. Step 6: Final answer
    x = 197,400,995.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.