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Finding the Third Proportional to 48,784,777 and 106,072,285

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Solution

The third proportional to 48,784,777 and 106,072,285 is: 230,631,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,777 : 106,072,285 = 106,072,285 : x
  2. Step 2: Convert to fraction form
    48,784,777/106,072,285 = 106,072,285/x
  3. Step 3: Cross multiply
    48,784,777x = 106,072,285 × 106,072,285
  4. Step 4: Simplify right side
    48,784,777x = 11,251,329,645,121,224
  5. Step 5: Solve for x
    x = 11,251,329,645,121,224/48,784,777
  6. Step 6: Final answer
    x = 230,631,978.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.