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Finding the Third Proportional to 151,157,886 and 226,697,409

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Solution

The third proportional to 151,157,886 and 226,697,409 is: 339,986,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,157,886 : 226,697,409 = 226,697,409 : x
  2. Step 2: Convert to fraction form
    151,157,886/226,697,409 = 226,697,409/x
  3. Step 3: Cross multiply
    151,157,886x = 226,697,409 × 226,697,409
  4. Step 4: Simplify right side
    151,157,886x = 51,391,715,247,313,280
  5. Step 5: Solve for x
    x = 51,391,715,247,313,280/151,157,886
  6. Step 6: Final answer
    x = 339,986,993.78

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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.