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Finding the Third Proportional to 171,790,848 and 260,186,904

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Solution

The third proportional to 171,790,848 and 260,186,904 is: 394,067,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,790,848 : 260,186,904 = 260,186,904 : x
  2. Step 2: Convert to fraction form
    171,790,848/260,186,904 = 260,186,904/x
  3. Step 3: Cross multiply
    171,790,848x = 260,186,904 × 260,186,904
  4. Step 4: Simplify right side
    171,790,848x = 67,697,225,013,105,216
  5. Step 5: Solve for x
    x = 67,697,225,013,105,216/171,790,848
  6. Step 6: Final answer
    x = 394,067,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.