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Finding the Third Proportional to 54,940,847 and 114,403,095

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Solution

The third proportional to 54,940,847 and 114,403,095 is: 238,221,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940,847 : 114,403,095 = 114,403,095 : x
  2. Step 2: Convert to fraction form
    54,940,847/114,403,095 = 114,403,095/x
  3. Step 3: Cross multiply
    54,940,847x = 114,403,095 × 114,403,095
  4. Step 4: Simplify right side
    54,940,847x = 13,088,068,145,579,024
  5. Step 5: Solve for x
    x = 13,088,068,145,579,024/54,940,847
  6. Step 6: Final answer
    x = 238,221,084.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.