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Finding the Third Proportional to 181,115,971.50 and 282,435,628.50

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Solution

The third proportional to 181,115,971.50 and 282,435,628.50 is: 440,435,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,971.50 : 282,435,628.50 = 282,435,628.50 : x
  2. Step 2: Convert to fraction form
    181,115,971.50/282,435,628.50 = 282,435,628.50/x
  3. Step 3: Cross multiply
    181,115,971.50x = 282,435,628.50 × 282,435,628.50
  4. Step 4: Simplify right side
    181,115,971.50x = 79,769,884,246,190,016
  5. Step 5: Solve for x
    x = 79,769,884,246,190,016/181,115,971.50
  6. Step 6: Final answer
    x = 440,435,393.88

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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.