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Finding the Third Proportional to 202,151,379.56 and 302,418,971.48

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Solution

The third proportional to 202,151,379.56 and 302,418,971.48 is: 452,419,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,151,379.56 : 302,418,971.48 = 302,418,971.48 : x
  2. Step 2: Convert to fraction form
    202,151,379.56/302,418,971.48 = 302,418,971.48/x
  3. Step 3: Cross multiply
    202,151,379.56x = 302,418,971.48 × 302,418,971.48
  4. Step 4: Simplify right side
    202,151,379.56x = 91,457,234,313,658,128
  5. Step 5: Solve for x
    x = 91,457,234,313,658,128/202,151,379.56
  6. Step 6: Final answer
    x = 452,419,540.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.