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Finding the Third Proportional to 49,902,178 and 109,211,454

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Solution

The third proportional to 49,902,178 and 109,211,454 is: 239,010,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902,178 : 109,211,454 = 109,211,454 : x
  2. Step 2: Convert to fraction form
    49,902,178/109,211,454 = 109,211,454/x
  3. Step 3: Cross multiply
    49,902,178x = 109,211,454 × 109,211,454
  4. Step 4: Simplify right side
    49,902,178x = 11,927,141,684,794,116
  5. Step 5: Solve for x
    x = 11,927,141,684,794,116/49,902,178
  6. Step 6: Final answer
    x = 239,010,443.29

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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.