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Finding the Third Proportional to 98,597 and 214,807

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Solution

The third proportional to 98,597 and 214,807 is: 467,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,597 : 214,807 = 214,807 : x
  2. Step 2: Convert to fraction form
    98,597/214,807 = 214,807/x
  3. Step 3: Cross multiply
    98,597x = 214,807 × 214,807
  4. Step 4: Simplify right side
    98,597x = 46,142,047,249
  5. Step 5: Solve for x
    x = 46,142,047,249/98,597
  6. Step 6: Final answer
    x = 467,986.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.