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Finding the Third Proportional to 54,945,946 and 108,508,988

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Solution

The third proportional to 54,945,946 and 108,508,988 is: 214,286,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945,946 : 108,508,988 = 108,508,988 : x
  2. Step 2: Convert to fraction form
    54,945,946/108,508,988 = 108,508,988/x
  3. Step 3: Cross multiply
    54,945,946x = 108,508,988 × 108,508,988
  4. Step 4: Simplify right side
    54,945,946x = 11,774,200,476,784,144
  5. Step 5: Solve for x
    x = 11,774,200,476,784,144/54,945,946
  6. Step 6: Final answer
    x = 214,286,973.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.