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Finding the Third Proportional to 98,237 and 214,865

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Solution

The third proportional to 98,237 and 214,865 is: 469,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,237 : 214,865 = 214,865 : x
  2. Step 2: Convert to fraction form
    98,237/214,865 = 214,865/x
  3. Step 3: Cross multiply
    98,237x = 214,865 × 214,865
  4. Step 4: Simplify right side
    98,237x = 46,166,968,225
  5. Step 5: Solve for x
    x = 46,166,968,225/98,237
  6. Step 6: Final answer
    x = 469,954.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.