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Finding the Third Proportional to 68,509,962 and 147,714,764.06

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Solution

The third proportional to 68,509,962 and 147,714,764.06 is: 318,488,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509,962 : 147,714,764.06 = 147,714,764.06 : x
  2. Step 2: Convert to fraction form
    68,509,962/147,714,764.06 = 147,714,764.06/x
  3. Step 3: Cross multiply
    68,509,962x = 147,714,764.06 × 147,714,764.06
  4. Step 4: Simplify right side
    68,509,962x = 21,819,651,522,040,040
  5. Step 5: Solve for x
    x = 21,819,651,522,040,040/68,509,962
  6. Step 6: Final answer
    x = 318,488,740.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.