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Finding the Third Proportional to 181,115,969 and 282,435,641

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Solution

The third proportional to 181,115,969 and 282,435,641 is: 440,435,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,969 : 282,435,641 = 282,435,641 : x
  2. Step 2: Convert to fraction form
    181,115,969/282,435,641 = 282,435,641/x
  3. Step 3: Cross multiply
    181,115,969x = 282,435,641 × 282,435,641
  4. Step 4: Simplify right side
    181,115,969x = 79,769,891,307,080,880
  5. Step 5: Solve for x
    x = 79,769,891,307,080,880/181,115,969
  6. Step 6: Final answer
    x = 440,435,438.95

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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.