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Finding the Third Proportional to 93,649 and 202,265

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Solution

The third proportional to 93,649 and 202,265 is: 436,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,649 : 202,265 = 202,265 : x
  2. Step 2: Convert to fraction form
    93,649/202,265 = 202,265/x
  3. Step 3: Cross multiply
    93,649x = 202,265 × 202,265
  4. Step 4: Simplify right side
    93,649x = 40,911,130,225
  5. Step 5: Solve for x
    x = 40,911,130,225/93,649
  6. Step 6: Final answer
    x = 436,856.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.