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Finding the Third Proportional to 181,115,736 and 282,435,277.50

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Solution

The third proportional to 181,115,736 and 282,435,277.50 is: 440,434,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,736 : 282,435,277.50 = 282,435,277.50 : x
  2. Step 2: Convert to fraction form
    181,115,736/282,435,277.50 = 282,435,277.50/x
  3. Step 3: Cross multiply
    181,115,736x = 282,435,277.50 × 282,435,277.50
  4. Step 4: Simplify right side
    181,115,736x = 79,769,685,976,502,000
  5. Step 5: Solve for x
    x = 79,769,685,976,502,000/181,115,736
  6. Step 6: Final answer
    x = 440,434,871.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.