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Finding the Third Proportional to 49,902,184 and 109,211,464

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Solution

The third proportional to 49,902,184 and 109,211,464 is: 239,010,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902,184 : 109,211,464 = 109,211,464 : x
  2. Step 2: Convert to fraction form
    49,902,184/109,211,464 = 109,211,464/x
  3. Step 3: Cross multiply
    49,902,184x = 109,211,464 × 109,211,464
  4. Step 4: Simplify right side
    49,902,184x = 11,927,143,869,023,296
  5. Step 5: Solve for x
    x = 11,927,143,869,023,296/49,902,184
  6. Step 6: Final answer
    x = 239,010,458.32

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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.