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Finding the Third Proportional to 98,020 and 214,716

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Solution

The third proportional to 98,020 and 214,716 is: 470,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020 : 214,716 = 214,716 : x
  2. Step 2: Convert to fraction form
    98,020/214,716 = 214,716/x
  3. Step 3: Cross multiply
    98,020x = 214,716 × 214,716
  4. Step 4: Simplify right side
    98,020x = 46,102,960,656
  5. Step 5: Solve for x
    x = 46,102,960,656/98,020
  6. Step 6: Final answer
    x = 470,342.39

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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.