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Finding the Third Proportional to 98,794.50 and 212,594.25

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Solution

The third proportional to 98,794.50 and 212,594.25 is: 457,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794.50 : 212,594.25 = 212,594.25 : x
  2. Step 2: Convert to fraction form
    98,794.50/212,594.25 = 212,594.25/x
  3. Step 3: Cross multiply
    98,794.50x = 212,594.25 × 212,594.25
  4. Step 4: Simplify right side
    98,794.50x = 45,196,315,133.06
  5. Step 5: Solve for x
    x = 45,196,315,133.06/98,794.50
  6. Step 6: Final answer
    x = 457,478.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.