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Finding the Third Proportional to 42,681.94 and 93,494.46

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Solution

The third proportional to 42,681.94 and 93,494.46 is: 204,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,681.94 : 93,494.46 = 93,494.46 : x
  2. Step 2: Convert to fraction form
    42,681.94/93,494.46 = 93,494.46/x
  3. Step 3: Cross multiply
    42,681.94x = 93,494.46 × 93,494.46
  4. Step 4: Simplify right side
    42,681.94x = 8,741,214,225.99
  5. Step 5: Solve for x
    x = 8,741,214,225.99/42,681.94
  6. Step 6: Final answer
    x = 204,798.91

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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.