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Finding the Third Proportional to 98,701 and 217,080.50

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Solution

The third proportional to 98,701 and 217,080.50 is: 477,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,701 : 217,080.50 = 217,080.50 : x
  2. Step 2: Convert to fraction form
    98,701/217,080.50 = 217,080.50/x
  3. Step 3: Cross multiply
    98,701x = 217,080.50 × 217,080.50
  4. Step 4: Simplify right side
    98,701x = 47,123,943,480.25
  5. Step 5: Solve for x
    x = 47,123,943,480.25/98,701
  6. Step 6: Final answer
    x = 477,441.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.