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Finding the Third Proportional to 229,871,317.50 and 344,469,874.50

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Solution

The third proportional to 229,871,317.50 and 344,469,874.50 is: 516,199,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,871,317.50 : 344,469,874.50 = 344,469,874.50 : x
  2. Step 2: Convert to fraction form
    229,871,317.50/344,469,874.50 = 344,469,874.50/x
  3. Step 3: Cross multiply
    229,871,317.50x = 344,469,874.50 × 344,469,874.50
  4. Step 4: Simplify right side
    229,871,317.50x = 118,659,494,438,045,744
  5. Step 5: Solve for x
    x = 118,659,494,438,045,744/229,871,317.50
  6. Step 6: Final answer
    x = 516,199,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.