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Finding the Third Proportional to 98,188 and 210,264

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Solution

The third proportional to 98,188 and 210,264 is: 450,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188 : 210,264 = 210,264 : x
  2. Step 2: Convert to fraction form
    98,188/210,264 = 210,264/x
  3. Step 3: Cross multiply
    98,188x = 210,264 × 210,264
  4. Step 4: Simplify right side
    98,188x = 44,210,949,696
  5. Step 5: Solve for x
    x = 44,210,949,696/98,188
  6. Step 6: Final answer
    x = 450,268.36

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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.