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Finding the Third Proportional to 93,798 and 197,316

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Solution

The third proportional to 93,798 and 197,316 is: 415,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798 : 197,316 = 197,316 : x
  2. Step 2: Convert to fraction form
    93,798/197,316 = 197,316/x
  3. Step 3: Cross multiply
    93,798x = 197,316 × 197,316
  4. Step 4: Simplify right side
    93,798x = 38,933,603,856
  5. Step 5: Solve for x
    x = 38,933,603,856/93,798
  6. Step 6: Final answer
    x = 415,079.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.