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Finding the Third Proportional to 83,461.50 and 195,477.75

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Solution

The third proportional to 83,461.50 and 195,477.75 is: 457,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.50 : 195,477.75 = 195,477.75 : x
  2. Step 2: Convert to fraction form
    83,461.50/195,477.75 = 195,477.75/x
  3. Step 3: Cross multiply
    83,461.50x = 195,477.75 × 195,477.75
  4. Step 4: Simplify right side
    83,461.50x = 38,211,550,745.06
  5. Step 5: Solve for x
    x = 38,211,550,745.06/83,461.50
  6. Step 6: Final answer
    x = 457,834.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.