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Finding the Third Proportional to 93,798 and 199,894.50

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Solution

The third proportional to 93,798 and 199,894.50 is: 425,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798 : 199,894.50 = 199,894.50 : x
  2. Step 2: Convert to fraction form
    93,798/199,894.50 = 199,894.50/x
  3. Step 3: Cross multiply
    93,798x = 199,894.50 × 199,894.50
  4. Step 4: Simplify right side
    93,798x = 39,957,811,130.25
  5. Step 5: Solve for x
    x = 39,957,811,130.25/93,798
  6. Step 6: Final answer
    x = 425,998.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.