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Finding the Third Proportional to 146,056,761 and 227,460,319

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Solution

The third proportional to 146,056,761 and 227,460,319 is: 354,233,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056,761 : 227,460,319 = 227,460,319 : x
  2. Step 2: Convert to fraction form
    146,056,761/227,460,319 = 227,460,319/x
  3. Step 3: Cross multiply
    146,056,761x = 227,460,319 × 227,460,319
  4. Step 4: Simplify right side
    146,056,761x = 51,738,196,719,581,760
  5. Step 5: Solve for x
    x = 51,738,196,719,581,760/146,056,761
  6. Step 6: Final answer
    x = 354,233,493.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.