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Finding the Third Proportional to 85,766,855.88 and 132,524,012.31

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Solution

The third proportional to 85,766,855.88 and 132,524,012.31 is: 204,771,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,766,855.88 : 132,524,012.31 = 132,524,012.31 : x
  2. Step 2: Convert to fraction form
    85,766,855.88/132,524,012.31 = 132,524,012.31/x
  3. Step 3: Cross multiply
    85,766,855.88x = 132,524,012.31 × 132,524,012.31
  4. Step 4: Simplify right side
    85,766,855.88x = 17,562,613,839,403,652
  5. Step 5: Solve for x
    x = 17,562,613,839,403,652/85,766,855.88
  6. Step 6: Final answer
    x = 204,771,571.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.