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Finding the Third Proportional to 98,937 and 217,476

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Solution

The third proportional to 98,937 and 217,476 is: 478,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,937 : 217,476 = 217,476 : x
  2. Step 2: Convert to fraction form
    98,937/217,476 = 217,476/x
  3. Step 3: Cross multiply
    98,937x = 217,476 × 217,476
  4. Step 4: Simplify right side
    98,937x = 47,295,810,576
  5. Step 5: Solve for x
    x = 47,295,810,576/98,937
  6. Step 6: Final answer
    x = 478,039.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.