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Finding the Third Proportional to 154,972,330 and 337,184,285

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Solution

The third proportional to 154,972,330 and 337,184,285 is: 733,635,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,972,330 : 337,184,285 = 337,184,285 : x
  2. Step 2: Convert to fraction form
    154,972,330/337,184,285 = 337,184,285/x
  3. Step 3: Cross multiply
    154,972,330x = 337,184,285 × 337,184,285
  4. Step 4: Simplify right side
    154,972,330x = 113,693,242,050,961,232
  5. Step 5: Solve for x
    x = 113,693,242,050,961,232/154,972,330
  6. Step 6: Final answer
    x = 733,635,753.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.