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Finding the Third Proportional to 98,979 and 230,992.50

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Solution

The third proportional to 98,979 and 230,992.50 is: 539,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,979 : 230,992.50 = 230,992.50 : x
  2. Step 2: Convert to fraction form
    98,979/230,992.50 = 230,992.50/x
  3. Step 3: Cross multiply
    98,979x = 230,992.50 × 230,992.50
  4. Step 4: Simplify right side
    98,979x = 53,357,535,056.25
  5. Step 5: Solve for x
    x = 53,357,535,056.25/98,979
  6. Step 6: Final answer
    x = 539,079.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.