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Finding the Third Proportional to 149,890,206 and 334,245,012

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Solution

The third proportional to 149,890,206 and 334,245,012 is: 745,343,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890,206 : 334,245,012 = 334,245,012 : x
  2. Step 2: Convert to fraction form
    149,890,206/334,245,012 = 334,245,012/x
  3. Step 3: Cross multiply
    149,890,206x = 334,245,012 × 334,245,012
  4. Step 4: Simplify right side
    149,890,206x = 111,719,728,046,880,144
  5. Step 5: Solve for x
    x = 111,719,728,046,880,144/149,890,206
  6. Step 6: Final answer
    x = 745,343,748.79

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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.