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Finding the Third Proportional to 66,339 and 138,828.94

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Solution

The third proportional to 66,339 and 138,828.94 is: 290,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 138,828.94 = 138,828.94 : x
  2. Step 2: Convert to fraction form
    66,339/138,828.94 = 138,828.94/x
  3. Step 3: Cross multiply
    66,339x = 138,828.94 × 138,828.94
  4. Step 4: Simplify right side
    66,339x = 19,273,473,887.38
  5. Step 5: Solve for x
    x = 19,273,473,887.38/66,339
  6. Step 6: Final answer
    x = 290,530.06

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.