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Finding the Third Proportional to 171,533,713 and 265,048,026

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Solution

The third proportional to 171,533,713 and 265,048,026 is: 409,543,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533,713 : 265,048,026 = 265,048,026 : x
  2. Step 2: Convert to fraction form
    171,533,713/265,048,026 = 265,048,026/x
  3. Step 3: Cross multiply
    171,533,713x = 265,048,026 × 265,048,026
  4. Step 4: Simplify right side
    171,533,713x = 70,250,456,086,496,672
  5. Step 5: Solve for x
    x = 70,250,456,086,496,672/171,533,713
  6. Step 6: Final answer
    x = 409,543,143.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.