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Finding the Third Proportional to 93,821 and 140,263.50

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Solution

The third proportional to 93,821 and 140,263.50 is: 209,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,821 : 140,263.50 = 140,263.50 : x
  2. Step 2: Convert to fraction form
    93,821/140,263.50 = 140,263.50/x
  3. Step 3: Cross multiply
    93,821x = 140,263.50 × 140,263.50
  4. Step 4: Simplify right side
    93,821x = 19,673,849,432.25
  5. Step 5: Solve for x
    x = 19,673,849,432.25/93,821
  6. Step 6: Final answer
    x = 209,695.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.