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Finding the Third Proportional to 88,398 and 190,813.50

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Solution

The third proportional to 88,398 and 190,813.50 is: 411,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,398 : 190,813.50 = 190,813.50 : x
  2. Step 2: Convert to fraction form
    88,398/190,813.50 = 190,813.50/x
  3. Step 3: Cross multiply
    88,398x = 190,813.50 × 190,813.50
  4. Step 4: Simplify right side
    88,398x = 36,409,791,782.25
  5. Step 5: Solve for x
    x = 36,409,791,782.25/88,398
  6. Step 6: Final answer
    x = 411,884.79

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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.