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Finding the Third Proportional to 96,288.75 and 205,051.50

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Solution

The third proportional to 96,288.75 and 205,051.50 is: 436,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,288.75 : 205,051.50 = 205,051.50 : x
  2. Step 2: Convert to fraction form
    96,288.75/205,051.50 = 205,051.50/x
  3. Step 3: Cross multiply
    96,288.75x = 205,051.50 × 205,051.50
  4. Step 4: Simplify right side
    96,288.75x = 42,046,117,652.25
  5. Step 5: Solve for x
    x = 42,046,117,652.25/96,288.75
  6. Step 6: Final answer
    x = 436,666.98

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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.