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Finding the Third Proportional to 77,684.06 and 169,207.31

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Solution

The third proportional to 77,684.06 and 169,207.31 is: 368,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.06 : 169,207.31 = 169,207.31 : x
  2. Step 2: Convert to fraction form
    77,684.06/169,207.31 = 169,207.31/x
  3. Step 3: Cross multiply
    77,684.06x = 169,207.31 × 169,207.31
  4. Step 4: Simplify right side
    77,684.06x = 28,631,114,603.47
  5. Step 5: Solve for x
    x = 28,631,114,603.47/77,684.06
  6. Step 6: Final answer
    x = 368,558.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.