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Finding the Third Proportional to 68,251,137.75 and 146,068,215.75

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Solution

The third proportional to 68,251,137.75 and 146,068,215.75 is: 312,609,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,251,137.75 : 146,068,215.75 = 146,068,215.75 : x
  2. Step 2: Convert to fraction form
    68,251,137.75/146,068,215.75 = 146,068,215.75/x
  3. Step 3: Cross multiply
    68,251,137.75x = 146,068,215.75 × 146,068,215.75
  4. Step 4: Simplify right side
    68,251,137.75x = 21,335,923,652,388,548
  5. Step 5: Solve for x
    x = 21,335,923,652,388,548/68,251,137.75
  6. Step 6: Final answer
    x = 312,609,054.67

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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.