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Finding the Third Proportional to 103,984.88 and 212,898.38

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Solution

The third proportional to 103,984.88 and 212,898.38 is: 435,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984.88 : 212,898.38 = 212,898.38 : x
  2. Step 2: Convert to fraction form
    103,984.88/212,898.38 = 212,898.38/x
  3. Step 3: Cross multiply
    103,984.88x = 212,898.38 × 212,898.38
  4. Step 4: Simplify right side
    103,984.88x = 45,325,718,077.64
  5. Step 5: Solve for x
    x = 45,325,718,077.64/103,984.88
  6. Step 6: Final answer
    x = 435,887.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.