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Finding the Third Proportional to 149,890,210 and 334,245,020

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Solution

The third proportional to 149,890,210 and 334,245,020 is: 745,343,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890,210 : 334,245,020 = 334,245,020 : x
  2. Step 2: Convert to fraction form
    149,890,210/334,245,020 = 334,245,020/x
  3. Step 3: Cross multiply
    149,890,210x = 334,245,020 × 334,245,020
  4. Step 4: Simplify right side
    149,890,210x = 111,719,733,394,800,400
  5. Step 5: Solve for x
    x = 111,719,733,394,800,400/149,890,210
  6. Step 6: Final answer
    x = 745,343,764.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.