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Finding the Third Proportional to 49,563,224 and 107,362,320

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Solution

The third proportional to 49,563,224 and 107,362,320 is: 232,564,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,224 : 107,362,320 = 107,362,320 : x
  2. Step 2: Convert to fraction form
    49,563,224/107,362,320 = 107,362,320/x
  3. Step 3: Cross multiply
    49,563,224x = 107,362,320 × 107,362,320
  4. Step 4: Simplify right side
    49,563,224x = 11,526,667,755,782,400
  5. Step 5: Solve for x
    x = 11,526,667,755,782,400/49,563,224
  6. Step 6: Final answer
    x = 232,564,930.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.