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Finding the Third Proportional to 85,027,970 and 132,020,931

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Solution

The third proportional to 85,027,970 and 132,020,931 is: 204,985,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,027,970 : 132,020,931 = 132,020,931 : x
  2. Step 2: Convert to fraction form
    85,027,970/132,020,931 = 132,020,931/x
  3. Step 3: Cross multiply
    85,027,970x = 132,020,931 × 132,020,931
  4. Step 4: Simplify right side
    85,027,970x = 17,429,526,222,106,760
  5. Step 5: Solve for x
    x = 17,429,526,222,106,760/85,027,970
  6. Step 6: Final answer
    x = 204,985,797.29

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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.