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Finding the Third Proportional to 70,715,133 and 109,100,668.50

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Solution

The third proportional to 70,715,133 and 109,100,668.50 is: 168,322,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,715,133 : 109,100,668.50 = 109,100,668.50 : x
  2. Step 2: Convert to fraction form
    70,715,133/109,100,668.50 = 109,100,668.50/x
  3. Step 3: Cross multiply
    70,715,133x = 109,100,668.50 × 109,100,668.50
  4. Step 4: Simplify right side
    70,715,133x = 11,902,955,867,146,892
  5. Step 5: Solve for x
    x = 11,902,955,867,146,892/70,715,133
  6. Step 6: Final answer
    x = 168,322,611.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.