Home / 181,115,934.75-282,435,567.75

Finding the Third Proportional to 181,115,934.75 and 282,435,567.75

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Solution

The third proportional to 181,115,934.75 and 282,435,567.75 is: 440,435,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,934.75 : 282,435,567.75 = 282,435,567.75 : x
  2. Step 2: Convert to fraction form
    181,115,934.75/282,435,567.75 = 282,435,567.75/x
  3. Step 3: Cross multiply
    181,115,934.75x = 282,435,567.75 × 282,435,567.75
  4. Step 4: Simplify right side
    181,115,934.75x = 79,769,849,930,264,848
  5. Step 5: Solve for x
    x = 79,769,849,930,264,848/181,115,934.75
  6. Step 6: Final answer
    x = 440,435,293.78

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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.