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Finding the Third Proportional to 97,800.75 and 206,114.63

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Solution

The third proportional to 97,800.75 and 206,114.63 is: 434,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,800.75 : 206,114.63 = 206,114.63 : x
  2. Step 2: Convert to fraction form
    97,800.75/206,114.63 = 206,114.63/x
  3. Step 3: Cross multiply
    97,800.75x = 206,114.63 × 206,114.63
  4. Step 4: Simplify right side
    97,800.75x = 42,483,238,638.89
  5. Step 5: Solve for x
    x = 42,483,238,638.89/97,800.75
  6. Step 6: Final answer
    x = 434,385.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.