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Finding the Third Proportional to 93,385 and 215,966.50

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Solution

The third proportional to 93,385 and 215,966.50 is: 499,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,385 : 215,966.50 = 215,966.50 : x
  2. Step 2: Convert to fraction form
    93,385/215,966.50 = 215,966.50/x
  3. Step 3: Cross multiply
    93,385x = 215,966.50 × 215,966.50
  4. Step 4: Simplify right side
    93,385x = 46,641,529,122.25
  5. Step 5: Solve for x
    x = 46,641,529,122.25/93,385
  6. Step 6: Final answer
    x = 499,454.19

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.