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Finding the Third Proportional to 85,291,458 and 131,017,029

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Solution

The third proportional to 85,291,458 and 131,017,029 is: 201,256,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,291,458 : 131,017,029 = 131,017,029 : x
  2. Step 2: Convert to fraction form
    85,291,458/131,017,029 = 131,017,029/x
  3. Step 3: Cross multiply
    85,291,458x = 131,017,029 × 131,017,029
  4. Step 4: Simplify right side
    85,291,458x = 17,165,461,887,986,840
  5. Step 5: Solve for x
    x = 17,165,461,887,986,840/85,291,458
  6. Step 6: Final answer
    x = 201,256,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.