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Finding the Third Proportional to 103,802.81 and 169,499.06

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Solution

The third proportional to 103,802.81 and 169,499.06 is: 276,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802.81 : 169,499.06 = 169,499.06 : x
  2. Step 2: Convert to fraction form
    103,802.81/169,499.06 = 169,499.06/x
  3. Step 3: Cross multiply
    103,802.81x = 169,499.06 × 169,499.06
  4. Step 4: Simplify right side
    103,802.81x = 28,729,932,188.38
  5. Step 5: Solve for x
    x = 28,729,932,188.38/103,802.81
  6. Step 6: Final answer
    x = 276,774.12

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.