Home / 181,116,096.75-282,435,814.13

Finding the Third Proportional to 181,116,096.75 and 282,435,814.13

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Solution

The third proportional to 181,116,096.75 and 282,435,814.13 is: 440,435,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,096.75 : 282,435,814.13 = 282,435,814.13 : x
  2. Step 2: Convert to fraction form
    181,116,096.75/282,435,814.13 = 282,435,814.13/x
  3. Step 3: Cross multiply
    181,116,096.75x = 282,435,814.13 × 282,435,814.13
  4. Step 4: Simplify right side
    181,116,096.75x = 79,769,989,100,451,552
  5. Step 5: Solve for x
    x = 79,769,989,100,451,552/181,116,096.75
  6. Step 6: Final answer
    x = 440,435,668.24

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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.