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Finding the Third Proportional to 161,395,692.75 and 345,230,004.38

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Solution

The third proportional to 161,395,692.75 and 345,230,004.38 is: 738,456,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,395,692.75 : 345,230,004.38 = 345,230,004.38 : x
  2. Step 2: Convert to fraction form
    161,395,692.75/345,230,004.38 = 345,230,004.38/x
  3. Step 3: Cross multiply
    161,395,692.75x = 345,230,004.38 × 345,230,004.38
  4. Step 4: Simplify right side
    161,395,692.75x = 119,183,755,920,762,512
  5. Step 5: Solve for x
    x = 119,183,755,920,762,512/161,395,692.75
  6. Step 6: Final answer
    x = 738,456,856.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.