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Finding the Third Proportional to 93,889 and 208,769

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Solution

The third proportional to 93,889 and 208,769 is: 464,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,889 : 208,769 = 208,769 : x
  2. Step 2: Convert to fraction form
    93,889/208,769 = 208,769/x
  3. Step 3: Cross multiply
    93,889x = 208,769 × 208,769
  4. Step 4: Simplify right side
    93,889x = 43,584,495,361
  5. Step 5: Solve for x
    x = 43,584,495,361/93,889
  6. Step 6: Final answer
    x = 464,213.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.