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Finding the Third Proportional to 151,232,408 and 323,985,112

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Solution

The third proportional to 151,232,408 and 323,985,112 is: 694,073,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,232,408 : 323,985,112 = 323,985,112 : x
  2. Step 2: Convert to fraction form
    151,232,408/323,985,112 = 323,985,112/x
  3. Step 3: Cross multiply
    151,232,408x = 323,985,112 × 323,985,112
  4. Step 4: Simplify right side
    151,232,408x = 104,966,352,797,652,544
  5. Step 5: Solve for x
    x = 104,966,352,797,652,544/151,232,408
  6. Step 6: Final answer
    x = 694,073,143.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.