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Finding the Third Proportional to 49,563,161.50 and 107,362,187

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Solution

The third proportional to 49,563,161.50 and 107,362,187 is: 232,564,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,161.50 : 107,362,187 = 107,362,187 : x
  2. Step 2: Convert to fraction form
    49,563,161.50/107,362,187 = 107,362,187/x
  3. Step 3: Cross multiply
    49,563,161.50x = 107,362,187 × 107,362,187
  4. Step 4: Simplify right side
    49,563,161.50x = 11,526,639,197,422,968
  5. Step 5: Solve for x
    x = 11,526,639,197,422,968/49,563,161.50
  6. Step 6: Final answer
    x = 232,564,647.79

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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.