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Finding the Third Proportional to 98,273.25 and 210,569.63

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Solution

The third proportional to 98,273.25 and 210,569.63 is: 451,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,273.25 : 210,569.63 = 210,569.63 : x
  2. Step 2: Convert to fraction form
    98,273.25/210,569.63 = 210,569.63/x
  3. Step 3: Cross multiply
    98,273.25x = 210,569.63 × 210,569.63
  4. Step 4: Simplify right side
    98,273.25x = 44,339,566,972.64
  5. Step 5: Solve for x
    x = 44,339,566,972.64/98,273.25
  6. Step 6: Final answer
    x = 451,186.53

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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.