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Finding the Third Proportional to 48,449,084 and 106,314,562

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Solution

The third proportional to 48,449,084 and 106,314,562 is: 233,292,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,449,084 : 106,314,562 = 106,314,562 : x
  2. Step 2: Convert to fraction form
    48,449,084/106,314,562 = 106,314,562/x
  3. Step 3: Cross multiply
    48,449,084x = 106,314,562 × 106,314,562
  4. Step 4: Simplify right side
    48,449,084x = 11,302,786,093,251,844
  5. Step 5: Solve for x
    x = 11,302,786,093,251,844/48,449,084
  6. Step 6: Final answer
    x = 233,292,049.30

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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.