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Finding the Third Proportional to 106,649,996.25 and 159,276,126

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Solution

The third proportional to 106,649,996.25 and 159,276,126 is: 237,870,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649,996.25 : 159,276,126 = 159,276,126 : x
  2. Step 2: Convert to fraction form
    106,649,996.25/159,276,126 = 159,276,126/x
  3. Step 3: Cross multiply
    106,649,996.25x = 159,276,126 × 159,276,126
  4. Step 4: Simplify right side
    106,649,996.25x = 25,368,884,313,567,876
  5. Step 5: Solve for x
    x = 25,368,884,313,567,876/106,649,996.25
  6. Step 6: Final answer
    x = 237,870,466.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.