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Finding the Third Proportional to 98,536.50 and 212,796

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Solution

The third proportional to 98,536.50 and 212,796 is: 459,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.50 : 212,796 = 212,796 : x
  2. Step 2: Convert to fraction form
    98,536.50/212,796 = 212,796/x
  3. Step 3: Cross multiply
    98,536.50x = 212,796 × 212,796
  4. Step 4: Simplify right side
    98,536.50x = 45,282,137,616
  5. Step 5: Solve for x
    x = 45,282,137,616/98,536.50
  6. Step 6: Final answer
    x = 459,546.84

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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.