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Finding the Third Proportional to 57,115,257.75 and 87,012,054.75

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Solution

The third proportional to 57,115,257.75 and 87,012,054.75 is: 132,558,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115,257.75 : 87,012,054.75 = 87,012,054.75 : x
  2. Step 2: Convert to fraction form
    57,115,257.75/87,012,054.75 = 87,012,054.75/x
  3. Step 3: Cross multiply
    57,115,257.75x = 87,012,054.75 × 87,012,054.75
  4. Step 4: Simplify right side
    57,115,257.75x = 7,571,097,671,816,998
  5. Step 5: Solve for x
    x = 7,571,097,671,816,998/57,115,257.75
  6. Step 6: Final answer
    x = 132,558,233.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.