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Finding the Third Proportional to 226,573,336.69 and 495,266,584.78

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Solution

The third proportional to 226,573,336.69 and 495,266,584.78 is: 1,082,603,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,573,336.69 : 495,266,584.78 = 495,266,584.78 : x
  2. Step 2: Convert to fraction form
    226,573,336.69/495,266,584.78 = 495,266,584.78/x
  3. Step 3: Cross multiply
    226,573,336.69x = 495,266,584.78 × 495,266,584.78
  4. Step 4: Simplify right side
    226,573,336.69x = 245,288,990,000,883,104
  5. Step 5: Solve for x
    x = 245,288,990,000,883,104/226,573,336.69
  6. Step 6: Final answer
    x = 1,082,603,070.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.