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Finding the Third Proportional to 268,576,150.50 and 427,077,544.50

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Solution

The third proportional to 268,576,150.50 and 427,077,544.50 is: 679,119,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,576,150.50 : 427,077,544.50 = 427,077,544.50 : x
  2. Step 2: Convert to fraction form
    268,576,150.50/427,077,544.50 = 427,077,544.50/x
  3. Step 3: Cross multiply
    268,576,150.50x = 427,077,544.50 × 427,077,544.50
  4. Step 4: Simplify right side
    268,576,150.50x = 182,395,229,016,149,472
  5. Step 5: Solve for x
    x = 182,395,229,016,149,472/268,576,150.50
  6. Step 6: Final answer
    x = 679,119,231.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.