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Finding the Third Proportional to 98,444 and 214,931

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Solution

The third proportional to 98,444 and 214,931 is: 469,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,444 : 214,931 = 214,931 : x
  2. Step 2: Convert to fraction form
    98,444/214,931 = 214,931/x
  3. Step 3: Cross multiply
    98,444x = 214,931 × 214,931
  4. Step 4: Simplify right side
    98,444x = 46,195,334,761
  5. Step 5: Solve for x
    x = 46,195,334,761/98,444
  6. Step 6: Final answer
    x = 469,254.95

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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.