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Finding the Third Proportional to 94,690.69 and 207,196.31

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Solution

The third proportional to 94,690.69 and 207,196.31 is: 453,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,690.69 : 207,196.31 = 207,196.31 : x
  2. Step 2: Convert to fraction form
    94,690.69/207,196.31 = 207,196.31/x
  3. Step 3: Cross multiply
    94,690.69x = 207,196.31 × 207,196.31
  4. Step 4: Simplify right side
    94,690.69x = 42,930,311,913.60
  5. Step 5: Solve for x
    x = 42,930,311,913.60/94,690.69
  6. Step 6: Final answer
    x = 453,374.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.