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Finding the Third Proportional to 99,312 and 202,998

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Solution

The third proportional to 99,312 and 202,998 is: 414,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312 : 202,998 = 202,998 : x
  2. Step 2: Convert to fraction form
    99,312/202,998 = 202,998/x
  3. Step 3: Cross multiply
    99,312x = 202,998 × 202,998
  4. Step 4: Simplify right side
    99,312x = 41,208,188,004
  5. Step 5: Solve for x
    x = 41,208,188,004/99,312
  6. Step 6: Final answer
    x = 414,936.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.