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Finding the Third Proportional to 281,394,546.75 and 611,230,186.69

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Solution

The third proportional to 281,394,546.75 and 611,230,186.69 is: 1,327,681,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,394,546.75 : 611,230,186.69 = 611,230,186.69 : x
  2. Step 2: Convert to fraction form
    281,394,546.75/611,230,186.69 = 611,230,186.69/x
  3. Step 3: Cross multiply
    281,394,546.75x = 611,230,186.69 × 611,230,186.69
  4. Step 4: Simplify right side
    281,394,546.75x = 373,602,341,118,036,096
  5. Step 5: Solve for x
    x = 373,602,341,118,036,096/281,394,546.75
  6. Step 6: Final answer
    x = 1,327,681,525.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.