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Finding the Third Proportional to 50,148,357 and 109,199,533

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Solution

The third proportional to 50,148,357 and 109,199,533 is: 237,785,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148,357 : 109,199,533 = 109,199,533 : x
  2. Step 2: Convert to fraction form
    50,148,357/109,199,533 = 109,199,533/x
  3. Step 3: Cross multiply
    50,148,357x = 109,199,533 × 109,199,533
  4. Step 4: Simplify right side
    50,148,357x = 11,924,538,007,418,088
  5. Step 5: Solve for x
    x = 11,924,538,007,418,088/50,148,357
  6. Step 6: Final answer
    x = 237,785,218.12

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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.