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Finding the Third Proportional to 98,516 and 211,036

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Solution

The third proportional to 98,516 and 211,036 is: 452,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516 : 211,036 = 211,036 : x
  2. Step 2: Convert to fraction form
    98,516/211,036 = 211,036/x
  3. Step 3: Cross multiply
    98,516x = 211,036 × 211,036
  4. Step 4: Simplify right side
    98,516x = 44,536,193,296
  5. Step 5: Solve for x
    x = 44,536,193,296/98,516
  6. Step 6: Final answer
    x = 452,070.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.