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Finding the Third Proportional to 74,759,504 and 109,301,016

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Solution

The third proportional to 74,759,504 and 109,301,016 is: 159,801,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,759,504 : 109,301,016 = 109,301,016 : x
  2. Step 2: Convert to fraction form
    74,759,504/109,301,016 = 109,301,016/x
  3. Step 3: Cross multiply
    74,759,504x = 109,301,016 × 109,301,016
  4. Step 4: Simplify right side
    74,759,504x = 11,946,712,098,632,256
  5. Step 5: Solve for x
    x = 11,946,712,098,632,256/74,759,504
  6. Step 6: Final answer
    x = 159,801,917.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.