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Finding the Third Proportional to 146,056,758 and 227,460,315

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Solution

The third proportional to 146,056,758 and 227,460,315 is: 354,233,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056,758 : 227,460,315 = 227,460,315 : x
  2. Step 2: Convert to fraction form
    146,056,758/227,460,315 = 227,460,315/x
  3. Step 3: Cross multiply
    146,056,758x = 227,460,315 × 227,460,315
  4. Step 4: Simplify right side
    146,056,758x = 51,738,194,899,899,224
  5. Step 5: Solve for x
    x = 51,738,194,899,899,224/146,056,758
  6. Step 6: Final answer
    x = 354,233,488.46

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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.