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Finding the Third Proportional to 48,916,359 and 106,621,794

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Solution

The third proportional to 48,916,359 and 106,621,794 is: 232,400,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,916,359 : 106,621,794 = 106,621,794 : x
  2. Step 2: Convert to fraction form
    48,916,359/106,621,794 = 106,621,794/x
  3. Step 3: Cross multiply
    48,916,359x = 106,621,794 × 106,621,794
  4. Step 4: Simplify right side
    48,916,359x = 11,368,206,955,778,436
  5. Step 5: Solve for x
    x = 11,368,206,955,778,436/48,916,359
  6. Step 6: Final answer
    x = 232,400,922.48

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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.