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Finding the Third Proportional to 98,214 and 215,544

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Solution

The third proportional to 98,214 and 215,544 is: 473,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214 : 215,544 = 215,544 : x
  2. Step 2: Convert to fraction form
    98,214/215,544 = 215,544/x
  3. Step 3: Cross multiply
    98,214x = 215,544 × 215,544
  4. Step 4: Simplify right side
    98,214x = 46,459,215,936
  5. Step 5: Solve for x
    x = 46,459,215,936/98,214
  6. Step 6: Final answer
    x = 473,040.67

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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.