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Finding the Third Proportional to 48,834,225 and 107,505,337.50

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Solution

The third proportional to 48,834,225 and 107,505,337.50 is: 236,665,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,834,225 : 107,505,337.50 = 107,505,337.50 : x
  2. Step 2: Convert to fraction form
    48,834,225/107,505,337.50 = 107,505,337.50/x
  3. Step 3: Cross multiply
    48,834,225x = 107,505,337.50 × 107,505,337.50
  4. Step 4: Simplify right side
    48,834,225x = 11,557,397,590,988,906
  5. Step 5: Solve for x
    x = 11,557,397,590,988,906/48,834,225
  6. Step 6: Final answer
    x = 236,665,936.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.