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Finding the Third Proportional to 89,731.69 and 195,762.94

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Solution

The third proportional to 89,731.69 and 195,762.94 is: 427,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731.69 : 195,762.94 = 195,762.94 : x
  2. Step 2: Convert to fraction form
    89,731.69/195,762.94 = 195,762.94/x
  3. Step 3: Cross multiply
    89,731.69x = 195,762.94 × 195,762.94
  4. Step 4: Simplify right side
    89,731.69x = 38,323,127,698.63
  5. Step 5: Solve for x
    x = 38,323,127,698.63/89,731.69
  6. Step 6: Final answer
    x = 427,085.78

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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.