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Finding the Third Proportional to 48,017,936.25 and 105,368,688

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Solution

The third proportional to 48,017,936.25 and 105,368,688 is: 231,216,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017,936.25 : 105,368,688 = 105,368,688 : x
  2. Step 2: Convert to fraction form
    48,017,936.25/105,368,688 = 105,368,688/x
  3. Step 3: Cross multiply
    48,017,936.25x = 105,368,688 × 105,368,688
  4. Step 4: Simplify right side
    48,017,936.25x = 11,102,560,410,841,344
  5. Step 5: Solve for x
    x = 11,102,560,410,841,344/48,017,936.25
  6. Step 6: Final answer
    x = 231,216,942.62

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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.