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Finding the Third Proportional to 93,922.50 and 201,196.50

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Solution

The third proportional to 93,922.50 and 201,196.50 is: 430,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,922.50 : 201,196.50 = 201,196.50 : x
  2. Step 2: Convert to fraction form
    93,922.50/201,196.50 = 201,196.50/x
  3. Step 3: Cross multiply
    93,922.50x = 201,196.50 × 201,196.50
  4. Step 4: Simplify right side
    93,922.50x = 40,480,031,612.25
  5. Step 5: Solve for x
    x = 40,480,031,612.25/93,922.50
  6. Step 6: Final answer
    x = 430,993.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.