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Finding the Third Proportional to 181,115,865 and 282,435,468.75

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Solution

The third proportional to 181,115,865 and 282,435,468.75 is: 440,435,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,865 : 282,435,468.75 = 282,435,468.75 : x
  2. Step 2: Convert to fraction form
    181,115,865/282,435,468.75 = 282,435,468.75/x
  3. Step 3: Cross multiply
    181,115,865x = 282,435,468.75 × 282,435,468.75
  4. Step 4: Simplify right side
    181,115,865x = 79,769,794,008,032,224
  5. Step 5: Solve for x
    x = 79,769,794,008,032,224/181,115,865
  6. Step 6: Final answer
    x = 440,435,154.63

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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.