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Finding the Third Proportional to 65,228,427 and 139,794,081.75

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Solution

The third proportional to 65,228,427 and 139,794,081.75 is: 299,599,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228,427 : 139,794,081.75 = 139,794,081.75 : x
  2. Step 2: Convert to fraction form
    65,228,427/139,794,081.75 = 139,794,081.75/x
  3. Step 3: Cross multiply
    65,228,427x = 139,794,081.75 × 139,794,081.75
  4. Step 4: Simplify right side
    65,228,427x = 19,542,385,292,325,684
  5. Step 5: Solve for x
    x = 19,542,385,292,325,684/65,228,427
  6. Step 6: Final answer
    x = 299,599,211.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.