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Finding the Third Proportional to 166,433,557 and 265,062,125

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Solution

The third proportional to 166,433,557 and 265,062,125 is: 422,138,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,433,557 : 265,062,125 = 265,062,125 : x
  2. Step 2: Convert to fraction form
    166,433,557/265,062,125 = 265,062,125/x
  3. Step 3: Cross multiply
    166,433,557x = 265,062,125 × 265,062,125
  4. Step 4: Simplify right side
    166,433,557x = 70,257,930,109,515,624
  5. Step 5: Solve for x
    x = 70,257,930,109,515,624/166,433,557
  6. Step 6: Final answer
    x = 422,138,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.