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Finding the Third Proportional to 171,083,811.75 and 351,237,296.25

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Solution

The third proportional to 171,083,811.75 and 351,237,296.25 is: 721,094,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,083,811.75 : 351,237,296.25 = 351,237,296.25 : x
  2. Step 2: Convert to fraction form
    171,083,811.75/351,237,296.25 = 351,237,296.25/x
  3. Step 3: Cross multiply
    171,083,811.75x = 351,237,296.25 × 351,237,296.25
  4. Step 4: Simplify right side
    171,083,811.75x = 123,367,638,277,010,272
  5. Step 5: Solve for x
    x = 123,367,638,277,010,272/171,083,811.75
  6. Step 6: Final answer
    x = 721,094,748.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.