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Finding the Third Proportional to 97,828.31 and 139,566.09

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Solution

The third proportional to 97,828.31 and 139,566.09 is: 199,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,828.31 : 139,566.09 = 139,566.09 : x
  2. Step 2: Convert to fraction form
    97,828.31/139,566.09 = 139,566.09/x
  3. Step 3: Cross multiply
    97,828.31x = 139,566.09 × 139,566.09
  4. Step 4: Simplify right side
    97,828.31x = 19,478,694,524.63
  5. Step 5: Solve for x
    x = 19,478,694,524.63/97,828.31
  6. Step 6: Final answer
    x = 199,111.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.