Home / 181,115,849.75-282,435,443.75

Finding the Third Proportional to 181,115,849.75 and 282,435,443.75

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Solution

The third proportional to 181,115,849.75 and 282,435,443.75 is: 440,435,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,849.75 : 282,435,443.75 = 282,435,443.75 : x
  2. Step 2: Convert to fraction form
    181,115,849.75/282,435,443.75 = 282,435,443.75/x
  3. Step 3: Cross multiply
    181,115,849.75x = 282,435,443.75 × 282,435,443.75
  4. Step 4: Simplify right side
    181,115,849.75x = 79,769,779,886,259,408
  5. Step 5: Solve for x
    x = 79,769,779,886,259,408/181,115,849.75
  6. Step 6: Final answer
    x = 440,435,113.75

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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.