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Finding the Third Proportional to 45,204.75 and 96,970.50

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Solution

The third proportional to 45,204.75 and 96,970.50 is: 208,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,204.75 : 96,970.50 = 96,970.50 : x
  2. Step 2: Convert to fraction form
    45,204.75/96,970.50 = 96,970.50/x
  3. Step 3: Cross multiply
    45,204.75x = 96,970.50 × 96,970.50
  4. Step 4: Simplify right side
    45,204.75x = 9,403,277,870.25
  5. Step 5: Solve for x
    x = 9,403,277,870.25/45,204.75
  6. Step 6: Final answer
    x = 208,015.26

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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.