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Finding the Third Proportional to 115,581,896 and 169,541,165

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Solution

The third proportional to 115,581,896 and 169,541,165 is: 248,691,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,581,896 : 169,541,165 = 169,541,165 : x
  2. Step 2: Convert to fraction form
    115,581,896/169,541,165 = 169,541,165/x
  3. Step 3: Cross multiply
    115,581,896x = 169,541,165 × 169,541,165
  4. Step 4: Simplify right side
    115,581,896x = 28,744,206,629,557,224
  5. Step 5: Solve for x
    x = 28,744,206,629,557,224/115,581,896
  6. Step 6: Final answer
    x = 248,691,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.