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Finding the Third Proportional to 104,790,523,230 and 227,941,429,657.50

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Solution

The third proportional to 104,790,523,230 and 227,941,429,657.50 is: 495,820,554,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,523,230 : 227,941,429,657.50 = 227,941,429,657.50 : x
  2. Step 2: Convert to fraction form
    104,790,523,230/227,941,429,657.50 = 227,941,429,657.50/x
  3. Step 3: Cross multiply
    104,790,523,230x = 227,941,429,657.50 × 227,941,429,657.50
  4. Step 4: Simplify right side
    104,790,523,230x = 51,957,295,354,305,023,311,872
  5. Step 5: Solve for x
    x = 51,957,295,354,305,023,311,872/104,790,523,230
  6. Step 6: Final answer
    x = 495,820,554,691.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.