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Finding the Third Proportional to 93,096.84 and 199,315.69

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Solution

The third proportional to 93,096.84 and 199,315.69 is: 426,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,096.84 : 199,315.69 = 199,315.69 : x
  2. Step 2: Convert to fraction form
    93,096.84/199,315.69 = 199,315.69/x
  3. Step 3: Cross multiply
    93,096.84x = 199,315.69 × 199,315.69
  4. Step 4: Simplify right side
    93,096.84x = 39,726,743,283.60
  5. Step 5: Solve for x
    x = 39,726,743,283.60/93,096.84
  6. Step 6: Final answer
    x = 426,724.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.