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Finding the Third Proportional to 181,115,712 and 282,435,243.75

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Solution

The third proportional to 181,115,712 and 282,435,243.75 is: 440,434,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,712 : 282,435,243.75 = 282,435,243.75 : x
  2. Step 2: Convert to fraction form
    181,115,712/282,435,243.75 = 282,435,243.75/x
  3. Step 3: Cross multiply
    181,115,712x = 282,435,243.75 × 282,435,243.75
  4. Step 4: Simplify right side
    181,115,712x = 79,769,666,912,121,920
  5. Step 5: Solve for x
    x = 79,769,666,912,121,920/181,115,712
  6. Step 6: Final answer
    x = 440,434,824.96

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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.