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Finding the Third Proportional to 91,998 and 214,992

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Solution

The third proportional to 91,998 and 214,992 is: 502,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,998 : 214,992 = 214,992 : x
  2. Step 2: Convert to fraction form
    91,998/214,992 = 214,992/x
  3. Step 3: Cross multiply
    91,998x = 214,992 × 214,992
  4. Step 4: Simplify right side
    91,998x = 46,221,560,064
  5. Step 5: Solve for x
    x = 46,221,560,064/91,998
  6. Step 6: Final answer
    x = 502,419.18

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.