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Finding the Third Proportional to 50,811,976 and 108,178,468

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Solution

The third proportional to 50,811,976 and 108,178,468 is: 230,311,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811,976 : 108,178,468 = 108,178,468 : x
  2. Step 2: Convert to fraction form
    50,811,976/108,178,468 = 108,178,468/x
  3. Step 3: Cross multiply
    50,811,976x = 108,178,468 × 108,178,468
  4. Step 4: Simplify right side
    50,811,976x = 11,702,580,938,827,024
  5. Step 5: Solve for x
    x = 11,702,580,938,827,024/50,811,976
  6. Step 6: Final answer
    x = 230,311,471.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.