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Finding the Third Proportional to 98,049 and 214,788

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Solution

The third proportional to 98,049 and 214,788 is: 470,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,049 : 214,788 = 214,788 : x
  2. Step 2: Convert to fraction form
    98,049/214,788 = 214,788/x
  3. Step 3: Cross multiply
    98,049x = 214,788 × 214,788
  4. Step 4: Simplify right side
    98,049x = 46,133,884,944
  5. Step 5: Solve for x
    x = 46,133,884,944/98,049
  6. Step 6: Final answer
    x = 470,518.67

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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.