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Finding the Third Proportional to 98,091 and 211,731

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Solution

The third proportional to 98,091 and 211,731 is: 457,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091 : 211,731 = 211,731 : x
  2. Step 2: Convert to fraction form
    98,091/211,731 = 211,731/x
  3. Step 3: Cross multiply
    98,091x = 211,731 × 211,731
  4. Step 4: Simplify right side
    98,091x = 44,830,016,361
  5. Step 5: Solve for x
    x = 44,830,016,361/98,091
  6. Step 6: Final answer
    x = 457,024.77

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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.