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Finding the Third Proportional to 93,988 and 147,664.50

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Solution

The third proportional to 93,988 and 147,664.50 is: 231,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,988 : 147,664.50 = 147,664.50 : x
  2. Step 2: Convert to fraction form
    93,988/147,664.50 = 147,664.50/x
  3. Step 3: Cross multiply
    93,988x = 147,664.50 × 147,664.50
  4. Step 4: Simplify right side
    93,988x = 21,804,804,560.25
  5. Step 5: Solve for x
    x = 21,804,804,560.25/93,988
  6. Step 6: Final answer
    x = 231,995.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.