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Finding the Third Proportional to 47,923,491 and 104,969,385

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Solution

The third proportional to 47,923,491 and 104,969,385 is: 229,920,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,923,491 : 104,969,385 = 104,969,385 : x
  2. Step 2: Convert to fraction form
    47,923,491/104,969,385 = 104,969,385/x
  3. Step 3: Cross multiply
    47,923,491x = 104,969,385 × 104,969,385
  4. Step 4: Simplify right side
    47,923,491x = 11,018,571,787,278,224
  5. Step 5: Solve for x
    x = 11,018,571,787,278,224/47,923,491
  6. Step 6: Final answer
    x = 229,920,057.10

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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.