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Finding the Third Proportional to 93,141.56 and 147,549.94

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Solution

The third proportional to 93,141.56 and 147,549.94 is: 233,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,141.56 : 147,549.94 = 147,549.94 : x
  2. Step 2: Convert to fraction form
    93,141.56/147,549.94 = 147,549.94/x
  3. Step 3: Cross multiply
    93,141.56x = 147,549.94 × 147,549.94
  4. Step 4: Simplify right side
    93,141.56x = 21,770,984,056.25
  5. Step 5: Solve for x
    x = 21,770,984,056.25/93,141.56
  6. Step 6: Final answer
    x = 233,740.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.