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Finding the Third Proportional to 98,235 and 214,860.38

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Solution

The third proportional to 98,235 and 214,860.38 is: 469,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,235 : 214,860.38 = 214,860.38 : x
  2. Step 2: Convert to fraction form
    98,235/214,860.38 = 214,860.38/x
  3. Step 3: Cross multiply
    98,235x = 214,860.38 × 214,860.38
  4. Step 4: Simplify right side
    98,235x = 46,164,980,745.14
  5. Step 5: Solve for x
    x = 46,164,980,745.14/98,235
  6. Step 6: Final answer
    x = 469,944.32

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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.