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Finding the Third Proportional to 151,157,722 and 226,697,216

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Solution

The third proportional to 151,157,722 and 226,697,216 is: 339,986,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,157,722 : 226,697,216 = 226,697,216 : x
  2. Step 2: Convert to fraction form
    151,157,722/226,697,216 = 226,697,216/x
  3. Step 3: Cross multiply
    151,157,722x = 226,697,216 × 226,697,216
  4. Step 4: Simplify right side
    151,157,722x = 51,391,627,742,150,656
  5. Step 5: Solve for x
    x = 51,391,627,742,150,656/151,157,722
  6. Step 6: Final answer
    x = 339,986,783.75

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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.