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Finding the Third Proportional to 40,000.50 and 84,920.06

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Solution

The third proportional to 40,000.50 and 84,920.06 is: 180,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,000.50 : 84,920.06 = 84,920.06 : x
  2. Step 2: Convert to fraction form
    40,000.50/84,920.06 = 84,920.06/x
  3. Step 3: Cross multiply
    40,000.50x = 84,920.06 × 84,920.06
  4. Step 4: Simplify right side
    40,000.50x = 7,211,417,015.00
  5. Step 5: Solve for x
    x = 7,211,417,015.00/40,000.50
  6. Step 6: Final answer
    x = 180,283.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.