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Finding the Third Proportional to 98,072 and 211,700

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Solution

The third proportional to 98,072 and 211,700 is: 456,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072 : 211,700 = 211,700 : x
  2. Step 2: Convert to fraction form
    98,072/211,700 = 211,700/x
  3. Step 3: Cross multiply
    98,072x = 211,700 × 211,700
  4. Step 4: Simplify right side
    98,072x = 44,816,890,000
  5. Step 5: Solve for x
    x = 44,816,890,000/98,072
  6. Step 6: Final answer
    x = 456,979.46

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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.