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Finding the Third Proportional to 98,070 and 211,698

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Solution

The third proportional to 98,070 and 211,698 is: 456,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,070 : 211,698 = 211,698 : x
  2. Step 2: Convert to fraction form
    98,070/211,698 = 211,698/x
  3. Step 3: Cross multiply
    98,070x = 211,698 × 211,698
  4. Step 4: Simplify right side
    98,070x = 44,816,043,204
  5. Step 5: Solve for x
    x = 44,816,043,204/98,070
  6. Step 6: Final answer
    x = 456,980.15

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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.