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Finding the Third Proportional to 98,029 and 214,728

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Solution

The third proportional to 98,029 and 214,728 is: 470,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,029 : 214,728 = 214,728 : x
  2. Step 2: Convert to fraction form
    98,029/214,728 = 214,728/x
  3. Step 3: Cross multiply
    98,029x = 214,728 × 214,728
  4. Step 4: Simplify right side
    98,029x = 46,108,113,984
  5. Step 5: Solve for x
    x = 46,108,113,984/98,029
  6. Step 6: Final answer
    x = 470,351.77

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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.