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Finding the Third Proportional to 46,098 and 99,203

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Solution

The third proportional to 46,098 and 99,203 is: 213,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,098 : 99,203 = 99,203 : x
  2. Step 2: Convert to fraction form
    46,098/99,203 = 99,203/x
  3. Step 3: Cross multiply
    46,098x = 99,203 × 99,203
  4. Step 4: Simplify right side
    46,098x = 9,841,235,209
  5. Step 5: Solve for x
    x = 9,841,235,209/46,098
  6. Step 6: Final answer
    x = 213,485.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.