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Finding the Third Proportional to 181,115,878 and 282,435,488

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Solution

The third proportional to 181,115,878 and 282,435,488 is: 440,435,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,878 : 282,435,488 = 282,435,488 : x
  2. Step 2: Convert to fraction form
    181,115,878/282,435,488 = 282,435,488/x
  3. Step 3: Cross multiply
    181,115,878x = 282,435,488 × 282,435,488
  4. Step 4: Simplify right side
    181,115,878x = 79,769,804,881,798,144
  5. Step 5: Solve for x
    x = 79,769,804,881,798,144/181,115,878
  6. Step 6: Final answer
    x = 440,435,183.06

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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.