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Finding the Third Proportional to 93,982.13 and 143,950.13

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Solution

The third proportional to 93,982.13 and 143,950.13 is: 220,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982.13 : 143,950.13 = 143,950.13 : x
  2. Step 2: Convert to fraction form
    93,982.13/143,950.13 = 143,950.13/x
  3. Step 3: Cross multiply
    93,982.13x = 143,950.13 × 143,950.13
  4. Step 4: Simplify right side
    93,982.13x = 20,721,638,487.52
  5. Step 5: Solve for x
    x = 20,721,638,487.52/93,982.13
  6. Step 6: Final answer
    x = 220,484.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.