Home / 281,971,550.25-431,062,484.06

Finding the Third Proportional to 281,971,550.25 and 431,062,484.06

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Solution

The third proportional to 281,971,550.25 and 431,062,484.06 is: 658,984,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,971,550.25 : 431,062,484.06 = 431,062,484.06 : x
  2. Step 2: Convert to fraction form
    281,971,550.25/431,062,484.06 = 431,062,484.06/x
  3. Step 3: Cross multiply
    281,971,550.25x = 431,062,484.06 × 431,062,484.06
  4. Step 4: Simplify right side
    281,971,550.25x = 185,814,865,166,133,056
  5. Step 5: Solve for x
    x = 185,814,865,166,133,056/281,971,550.25
  6. Step 6: Final answer
    x = 658,984,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.