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Finding the Third Proportional to 229,542,741 and 491,832,765

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Solution

The third proportional to 229,542,741 and 491,832,765 is: 1,053,831,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542,741 : 491,832,765 = 491,832,765 : x
  2. Step 2: Convert to fraction form
    229,542,741/491,832,765 = 491,832,765/x
  3. Step 3: Cross multiply
    229,542,741x = 491,832,765 × 491,832,765
  4. Step 4: Simplify right side
    229,542,741x = 241,899,468,727,545,216
  5. Step 5: Solve for x
    x = 241,899,468,727,545,216/229,542,741
  6. Step 6: Final answer
    x = 1,053,831,925.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.