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Finding the Third Proportional to 70,008,177 and 105,978,118.50

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Solution

The third proportional to 70,008,177 and 105,978,118.50 is: 160,429,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,008,177 : 105,978,118.50 = 105,978,118.50 : x
  2. Step 2: Convert to fraction form
    70,008,177/105,978,118.50 = 105,978,118.50/x
  3. Step 3: Cross multiply
    70,008,177x = 105,978,118.50 × 105,978,118.50
  4. Step 4: Simplify right side
    70,008,177x = 11,231,361,600,800,042
  5. Step 5: Solve for x
    x = 11,231,361,600,800,042/70,008,177
  6. Step 6: Final answer
    x = 160,429,282.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.