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Finding the Third Proportional to 48,003,756 and 103,513,512

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Solution

The third proportional to 48,003,756 and 103,513,512 is: 223,212,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003,756 : 103,513,512 = 103,513,512 : x
  2. Step 2: Convert to fraction form
    48,003,756/103,513,512 = 103,513,512/x
  3. Step 3: Cross multiply
    48,003,756x = 103,513,512 × 103,513,512
  4. Step 4: Simplify right side
    48,003,756x = 10,715,047,166,574,144
  5. Step 5: Solve for x
    x = 10,715,047,166,574,144/48,003,756
  6. Step 6: Final answer
    x = 223,212,682.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.