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Finding the Third Proportional to 171,345,761 and 261,036,156

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Solution

The third proportional to 171,345,761 and 261,036,156 is: 397,674,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,761 : 261,036,156 = 261,036,156 : x
  2. Step 2: Convert to fraction form
    171,345,761/261,036,156 = 261,036,156/x
  3. Step 3: Cross multiply
    171,345,761x = 261,036,156 × 261,036,156
  4. Step 4: Simplify right side
    171,345,761x = 68,139,874,739,256,336
  5. Step 5: Solve for x
    x = 68,139,874,739,256,336/171,345,761
  6. Step 6: Final answer
    x = 397,674,703.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.