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Finding the Third Proportional to 48,017,940 and 105,368,694

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Solution

The third proportional to 48,017,940 and 105,368,694 is: 231,216,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017,940 : 105,368,694 = 105,368,694 : x
  2. Step 2: Convert to fraction form
    48,017,940/105,368,694 = 105,368,694/x
  3. Step 3: Cross multiply
    48,017,940x = 105,368,694 × 105,368,694
  4. Step 4: Simplify right side
    48,017,940x = 11,102,561,675,265,636
  5. Step 5: Solve for x
    x = 11,102,561,675,265,636/48,017,940
  6. Step 6: Final answer
    x = 231,216,950.90

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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.