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Finding the Third Proportional to 187,999.42 and 405,959.98

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Solution

The third proportional to 187,999.42 and 405,959.98 is: 876,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,999.42 : 405,959.98 = 405,959.98 : x
  2. Step 2: Convert to fraction form
    187,999.42/405,959.98 = 405,959.98/x
  3. Step 3: Cross multiply
    187,999.42x = 405,959.98 × 405,959.98
  4. Step 4: Simplify right side
    187,999.42x = 164,803,502,570.63
  5. Step 5: Solve for x
    x = 164,803,502,570.63/187,999.42
  6. Step 6: Final answer
    x = 876,617.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.