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Finding the Third Proportional to 99,316 and 226,904

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Solution

The third proportional to 99,316 and 226,904 is: 518,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,316 : 226,904 = 226,904 : x
  2. Step 2: Convert to fraction form
    99,316/226,904 = 226,904/x
  3. Step 3: Cross multiply
    99,316x = 226,904 × 226,904
  4. Step 4: Simplify right side
    99,316x = 51,485,425,216
  5. Step 5: Solve for x
    x = 51,485,425,216/99,316
  6. Step 6: Final answer
    x = 518,400.11

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.