Home / 181,115,646.75-282,435,145.88

Finding the Third Proportional to 181,115,646.75 and 282,435,145.88

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Solution

The third proportional to 181,115,646.75 and 282,435,145.88 is: 440,434,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,646.75 : 282,435,145.88 = 282,435,145.88 : x
  2. Step 2: Convert to fraction form
    181,115,646.75/282,435,145.88 = 282,435,145.88/x
  3. Step 3: Cross multiply
    181,115,646.75x = 282,435,145.88 × 282,435,145.88
  4. Step 4: Simplify right side
    181,115,646.75x = 79,769,611,625,432,528
  5. Step 5: Solve for x
    x = 79,769,611,625,432,528/181,115,646.75
  6. Step 6: Final answer
    x = 440,434,678.38

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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.