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Finding the Third Proportional to 70,661,300 and 106,345,759

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Solution

The third proportional to 70,661,300 and 106,345,759 is: 160,051,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,300 : 106,345,759 = 106,345,759 : x
  2. Step 2: Convert to fraction form
    70,661,300/106,345,759 = 106,345,759/x
  3. Step 3: Cross multiply
    70,661,300x = 106,345,759 × 106,345,759
  4. Step 4: Simplify right side
    70,661,300x = 11,309,420,457,286,080
  5. Step 5: Solve for x
    x = 11,309,420,457,286,080/70,661,300
  6. Step 6: Final answer
    x = 160,051,123.56

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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.