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Finding the Third Proportional to 48,973,736 and 106,899,856

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Solution

The third proportional to 48,973,736 and 106,899,856 is: 233,340,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973,736 : 106,899,856 = 106,899,856 : x
  2. Step 2: Convert to fraction form
    48,973,736/106,899,856 = 106,899,856/x
  3. Step 3: Cross multiply
    48,973,736x = 106,899,856 × 106,899,856
  4. Step 4: Simplify right side
    48,973,736x = 11,427,579,212,820,736
  5. Step 5: Solve for x
    x = 11,427,579,212,820,736/48,973,736
  6. Step 6: Final answer
    x = 233,340,973.06

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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.