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Finding the Third Proportional to 171,083,810.25 and 351,237,292.88

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Solution

The third proportional to 171,083,810.25 and 351,237,292.88 is: 721,094,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,083,810.25 : 351,237,292.88 = 351,237,292.88 : x
  2. Step 2: Convert to fraction form
    171,083,810.25/351,237,292.88 = 351,237,292.88/x
  3. Step 3: Cross multiply
    171,083,810.25x = 351,237,292.88 × 351,237,292.88
  4. Step 4: Simplify right side
    171,083,810.25x = 123,367,635,906,158,528
  5. Step 5: Solve for x
    x = 123,367,635,906,158,528/171,083,810.25
  6. Step 6: Final answer
    x = 721,094,741.38

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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.