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Finding the Third Proportional to 67,588,649.25 and 138,760,376.25

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Solution

The third proportional to 67,588,649.25 and 138,760,376.25 is: 284,876,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,588,649.25 : 138,760,376.25 = 138,760,376.25 : x
  2. Step 2: Convert to fraction form
    67,588,649.25/138,760,376.25 = 138,760,376.25/x
  3. Step 3: Cross multiply
    67,588,649.25x = 138,760,376.25 × 138,760,376.25
  4. Step 4: Simplify right side
    67,588,649.25x = 19,254,442,017,041,564
  5. Step 5: Solve for x
    x = 19,254,442,017,041,564/67,588,649.25
  6. Step 6: Final answer
    x = 284,876,857.74

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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.