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Finding the Third Proportional to 99,308 and 234,229

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Solution

The third proportional to 99,308 and 234,229 is: 552,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,308 : 234,229 = 234,229 : x
  2. Step 2: Convert to fraction form
    99,308/234,229 = 234,229/x
  3. Step 3: Cross multiply
    99,308x = 234,229 × 234,229
  4. Step 4: Simplify right side
    99,308x = 54,863,224,441
  5. Step 5: Solve for x
    x = 54,863,224,441/99,308
  6. Step 6: Final answer
    x = 552,455.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.