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Finding the Third Proportional to 48,994,182 and 106,953,606

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Solution

The third proportional to 48,994,182 and 106,953,606 is: 233,478,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,994,182 : 106,953,606 = 106,953,606 : x
  2. Step 2: Convert to fraction form
    48,994,182/106,953,606 = 106,953,606/x
  3. Step 3: Cross multiply
    48,994,182x = 106,953,606 × 106,953,606
  4. Step 4: Simplify right side
    48,994,182x = 11,439,073,836,403,236
  5. Step 5: Solve for x
    x = 11,439,073,836,403,236/48,994,182
  6. Step 6: Final answer
    x = 233,478,208.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.