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Finding the Third Proportional to 200,855,887.31 and 310,233,923.44

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Solution

The third proportional to 200,855,887.31 and 310,233,923.44 is: 479,174,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855,887.31 : 310,233,923.44 = 310,233,923.44 : x
  2. Step 2: Convert to fraction form
    200,855,887.31/310,233,923.44 = 310,233,923.44/x
  3. Step 3: Cross multiply
    200,855,887.31x = 310,233,923.44 × 310,233,923.44
  4. Step 4: Simplify right side
    200,855,887.31x = 96,245,087,251,424,608
  5. Step 5: Solve for x
    x = 96,245,087,251,424,608/200,855,887.31
  6. Step 6: Final answer
    x = 479,174,837.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.