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Finding the Third Proportional to 48,839,139 and 106,181,334

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Solution

The third proportional to 48,839,139 and 106,181,334 is: 230,849,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,839,139 : 106,181,334 = 106,181,334 : x
  2. Step 2: Convert to fraction form
    48,839,139/106,181,334 = 106,181,334/x
  3. Step 3: Cross multiply
    48,839,139x = 106,181,334 × 106,181,334
  4. Step 4: Simplify right side
    48,839,139x = 11,274,475,690,019,556
  5. Step 5: Solve for x
    x = 11,274,475,690,019,556/48,839,139
  6. Step 6: Final answer
    x = 230,849,190.24

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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.