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Finding the Third Proportional to 48,017,944 and 105,368,704

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Solution

The third proportional to 48,017,944 and 105,368,704 is: 231,216,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017,944 : 105,368,704 = 105,368,704 : x
  2. Step 2: Convert to fraction form
    48,017,944/105,368,704 = 105,368,704/x
  3. Step 3: Cross multiply
    48,017,944x = 105,368,704 × 105,368,704
  4. Step 4: Simplify right side
    48,017,944x = 11,102,563,782,639,616
  5. Step 5: Solve for x
    x = 11,102,563,782,639,616/48,017,944
  6. Step 6: Final answer
    x = 231,216,975.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.