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Finding the Third Proportional to 100,525.50 and 198,513

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Solution

The third proportional to 100,525.50 and 198,513 is: 392,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,525.50 : 198,513 = 198,513 : x
  2. Step 2: Convert to fraction form
    100,525.50/198,513 = 198,513/x
  3. Step 3: Cross multiply
    100,525.50x = 198,513 × 198,513
  4. Step 4: Simplify right side
    100,525.50x = 39,407,411,169
  5. Step 5: Solve for x
    x = 39,407,411,169/100,525.50
  6. Step 6: Final answer
    x = 392,014.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.