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Finding the Third Proportional to 225,015,155 and 338,121,836

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Solution

The third proportional to 225,015,155 and 338,121,836 is: 508,083,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,015,155 : 338,121,836 = 338,121,836 : x
  2. Step 2: Convert to fraction form
    225,015,155/338,121,836 = 338,121,836/x
  3. Step 3: Cross multiply
    225,015,155x = 338,121,836 × 338,121,836
  4. Step 4: Simplify right side
    225,015,155x = 114,326,375,980,010,896
  5. Step 5: Solve for x
    x = 114,326,375,980,010,896/225,015,155
  6. Step 6: Final answer
    x = 508,083,004.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.