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Finding the Third Proportional to 99,308.50 and 226,887

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Solution

The third proportional to 99,308.50 and 226,887 is: 518,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,308.50 : 226,887 = 226,887 : x
  2. Step 2: Convert to fraction form
    99,308.50/226,887 = 226,887/x
  3. Step 3: Cross multiply
    99,308.50x = 226,887 × 226,887
  4. Step 4: Simplify right side
    99,308.50x = 51,477,710,769
  5. Step 5: Solve for x
    x = 51,477,710,769/99,308.50
  6. Step 6: Final answer
    x = 518,361.58

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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.