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Finding the Third Proportional to 98,300 and 210,937

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Solution

The third proportional to 98,300 and 210,937 is: 452,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,300 : 210,937 = 210,937 : x
  2. Step 2: Convert to fraction form
    98,300/210,937 = 210,937/x
  3. Step 3: Cross multiply
    98,300x = 210,937 × 210,937
  4. Step 4: Simplify right side
    98,300x = 44,494,417,969
  5. Step 5: Solve for x
    x = 44,494,417,969/98,300
  6. Step 6: Final answer
    x = 452,639.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.