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Finding the Third Proportional to 149,890,115.50 and 334,244,807

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Solution

The third proportional to 149,890,115.50 and 334,244,807 is: 745,343,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890,115.50 : 334,244,807 = 334,244,807 : x
  2. Step 2: Convert to fraction form
    149,890,115.50/334,244,807 = 334,244,807/x
  3. Step 3: Cross multiply
    149,890,115.50x = 334,244,807 × 334,244,807
  4. Step 4: Simplify right side
    149,890,115.50x = 111,719,591,006,467,248
  5. Step 5: Solve for x
    x = 111,719,591,006,467,248/149,890,115.50
  6. Step 6: Final answer
    x = 745,343,284.54

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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.