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Finding the Third Proportional to 146,056,759 and 227,460,316

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Solution

The third proportional to 146,056,759 and 227,460,316 is: 354,233,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056,759 : 227,460,316 = 227,460,316 : x
  2. Step 2: Convert to fraction form
    146,056,759/227,460,316 = 227,460,316/x
  3. Step 3: Cross multiply
    146,056,759x = 227,460,316 × 227,460,316
  4. Step 4: Simplify right side
    146,056,759x = 51,738,195,354,819,856
  5. Step 5: Solve for x
    x = 51,738,195,354,819,856/146,056,759
  6. Step 6: Final answer
    x = 354,233,489.15

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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.