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Finding the Third Proportional to 171,335,676 and 261,018,846

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Solution

The third proportional to 171,335,676 and 261,018,846 is: 397,645,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,335,676 : 261,018,846 = 261,018,846 : x
  2. Step 2: Convert to fraction form
    171,335,676/261,018,846 = 261,018,846/x
  3. Step 3: Cross multiply
    171,335,676x = 261,018,846 × 261,018,846
  4. Step 4: Simplify right side
    171,335,676x = 68,130,837,967,171,712
  5. Step 5: Solve for x
    x = 68,130,837,967,171,712/171,335,676
  6. Step 6: Final answer
    x = 397,645,368.19

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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.