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Finding the Third Proportional to 165,964,546.13 and 361,964,803.13

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Solution

The third proportional to 165,964,546.13 and 361,964,803.13 is: 789,436,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,964,546.13 : 361,964,803.13 = 361,964,803.13 : x
  2. Step 2: Convert to fraction form
    165,964,546.13/361,964,803.13 = 361,964,803.13/x
  3. Step 3: Cross multiply
    165,964,546.13x = 361,964,803.13 × 361,964,803.13
  4. Step 4: Simplify right side
    165,964,546.13x = 131,018,518,701,320,016
  5. Step 5: Solve for x
    x = 131,018,518,701,320,016/165,964,546.13
  6. Step 6: Final answer
    x = 789,436,790.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.