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Finding the Third Proportional to 105,699,080 and 161,707,785

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Solution

The third proportional to 105,699,080 and 161,707,785 is: 247,394,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699,080 : 161,707,785 = 161,707,785 : x
  2. Step 2: Convert to fraction form
    105,699,080/161,707,785 = 161,707,785/x
  3. Step 3: Cross multiply
    105,699,080x = 161,707,785 × 161,707,785
  4. Step 4: Simplify right side
    105,699,080x = 26,149,407,729,606,224
  5. Step 5: Solve for x
    x = 26,149,407,729,606,224/105,699,080
  6. Step 6: Final answer
    x = 247,394,847.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.