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Finding the Third Proportional to 52,151.81 and 107,068.38

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Solution

The third proportional to 52,151.81 and 107,068.38 is: 219,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,151.81 : 107,068.38 = 107,068.38 : x
  2. Step 2: Convert to fraction form
    52,151.81/107,068.38 = 107,068.38/x
  3. Step 3: Cross multiply
    52,151.81x = 107,068.38 × 107,068.38
  4. Step 4: Simplify right side
    52,151.81x = 11,463,636,925.14
  5. Step 5: Solve for x
    x = 11,463,636,925.14/52,151.81
  6. Step 6: Final answer
    x = 219,812.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.