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Finding the Third Proportional to 157,825,380 and 345,821,640

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Solution

The third proportional to 157,825,380 and 345,821,640 is: 757,752,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825,380 : 345,821,640 = 345,821,640 : x
  2. Step 2: Convert to fraction form
    157,825,380/345,821,640 = 345,821,640/x
  3. Step 3: Cross multiply
    157,825,380x = 345,821,640 × 345,821,640
  4. Step 4: Simplify right side
    157,825,380x = 119,592,606,692,289,600
  5. Step 5: Solve for x
    x = 119,592,606,692,289,600/157,825,380
  6. Step 6: Final answer
    x = 757,752,692.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.