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Finding the Third Proportional to 98,008 and 214,695

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Solution

The third proportional to 98,008 and 214,695 is: 470,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,008 : 214,695 = 214,695 : x
  2. Step 2: Convert to fraction form
    98,008/214,695 = 214,695/x
  3. Step 3: Cross multiply
    98,008x = 214,695 × 214,695
  4. Step 4: Simplify right side
    98,008x = 46,093,943,025
  5. Step 5: Solve for x
    x = 46,093,943,025/98,008
  6. Step 6: Final answer
    x = 470,307.96

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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.