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Finding the Third Proportional to 96,070 and 223,333

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Solution

The third proportional to 96,070 and 223,333 is: 519,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,070 : 223,333 = 223,333 : x
  2. Step 2: Convert to fraction form
    96,070/223,333 = 223,333/x
  3. Step 3: Cross multiply
    96,070x = 223,333 × 223,333
  4. Step 4: Simplify right side
    96,070x = 49,877,628,889
  5. Step 5: Solve for x
    x = 49,877,628,889/96,070
  6. Step 6: Final answer
    x = 519,180.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.