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Finding the Third Proportional to 225,015,153 and 338,121,832.50

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Solution

The third proportional to 225,015,153 and 338,121,832.50 is: 508,082,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,015,153 : 338,121,832.50 = 338,121,832.50 : x
  2. Step 2: Convert to fraction form
    225,015,153/338,121,832.50 = 338,121,832.50/x
  3. Step 3: Cross multiply
    225,015,153x = 338,121,832.50 × 338,121,832.50
  4. Step 4: Simplify right side
    225,015,153x = 114,326,373,613,158,064
  5. Step 5: Solve for x
    x = 114,326,373,613,158,064/225,015,153
  6. Step 6: Final answer
    x = 508,082,998.36

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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.