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Finding the Third Proportional to 93,798 and 200,718

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Solution

The third proportional to 93,798 and 200,718 is: 429,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798 : 200,718 = 200,718 : x
  2. Step 2: Convert to fraction form
    93,798/200,718 = 200,718/x
  3. Step 3: Cross multiply
    93,798x = 200,718 × 200,718
  4. Step 4: Simplify right side
    93,798x = 40,287,715,524
  5. Step 5: Solve for x
    x = 40,287,715,524/93,798
  6. Step 6: Final answer
    x = 429,515.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.