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Finding the Third Proportional to 65,228,429 and 139,794,086

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Solution

The third proportional to 65,228,429 and 139,794,086 is: 299,599,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228,429 : 139,794,086 = 139,794,086 : x
  2. Step 2: Convert to fraction form
    65,228,429/139,794,086 = 139,794,086/x
  3. Step 3: Cross multiply
    65,228,429x = 139,794,086 × 139,794,086
  4. Step 4: Simplify right side
    65,228,429x = 19,542,386,480,575,396
  5. Step 5: Solve for x
    x = 19,542,386,480,575,396/65,228,429
  6. Step 6: Final answer
    x = 299,599,220.47

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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.