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Finding the Third Proportional to 234,626,638.50 and 344,757,190.50

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Solution

The third proportional to 234,626,638.50 and 344,757,190.50 is: 506,581,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,626,638.50 : 344,757,190.50 = 344,757,190.50 : x
  2. Step 2: Convert to fraction form
    234,626,638.50/344,757,190.50 = 344,757,190.50/x
  3. Step 3: Cross multiply
    234,626,638.50x = 344,757,190.50 × 344,757,190.50
  4. Step 4: Simplify right side
    234,626,638.50x = 118,857,520,401,453,296
  5. Step 5: Solve for x
    x = 118,857,520,401,453,296/234,626,638.50
  6. Step 6: Final answer
    x = 506,581,525.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.