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Finding the Third Proportional to 67,588,743.50 and 138,760,536.50

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Solution

The third proportional to 67,588,743.50 and 138,760,536.50 is: 284,877,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,588,743.50 : 138,760,536.50 = 138,760,536.50 : x
  2. Step 2: Convert to fraction form
    67,588,743.50/138,760,536.50 = 138,760,536.50/x
  3. Step 3: Cross multiply
    67,588,743.50x = 138,760,536.50 × 138,760,536.50
  4. Step 4: Simplify right side
    67,588,743.50x = 19,254,486,489,767,832
  5. Step 5: Solve for x
    x = 19,254,486,489,767,832/67,588,743.50
  6. Step 6: Final answer
    x = 284,877,118.48

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