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Finding the Third Proportional to 73,105,474 and 160,557,759

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Solution

The third proportional to 73,105,474 and 160,557,759 is: 352,624,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,105,474 : 160,557,759 = 160,557,759 : x
  2. Step 2: Convert to fraction form
    73,105,474/160,557,759 = 160,557,759/x
  3. Step 3: Cross multiply
    73,105,474x = 160,557,759 × 160,557,759
  4. Step 4: Simplify right side
    73,105,474x = 25,778,793,975,102,080
  5. Step 5: Solve for x
    x = 25,778,793,975,102,080/73,105,474
  6. Step 6: Final answer
    x = 352,624,674.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.