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Finding the Third Proportional to 234,672,576.75 and 495,500,854.50

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Solution

The third proportional to 234,672,576.75 and 495,500,854.50 is: 1,046,228,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,672,576.75 : 495,500,854.50 = 495,500,854.50 : x
  2. Step 2: Convert to fraction form
    234,672,576.75/495,500,854.50 = 495,500,854.50/x
  3. Step 3: Cross multiply
    234,672,576.75x = 495,500,854.50 × 495,500,854.50
  4. Step 4: Simplify right side
    234,672,576.75x = 245,521,096,810,230,176
  5. Step 5: Solve for x
    x = 245,521,096,810,230,176/234,672,576.75
  6. Step 6: Final answer
    x = 1,046,228,324.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.