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Finding the Third Proportional to 36,454,984.50 and 86,055,424.50

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Solution

The third proportional to 36,454,984.50 and 86,055,424.50 is: 203,141,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454,984.50 : 86,055,424.50 = 86,055,424.50 : x
  2. Step 2: Convert to fraction form
    36,454,984.50/86,055,424.50 = 86,055,424.50/x
  3. Step 3: Cross multiply
    36,454,984.50x = 86,055,424.50 × 86,055,424.50
  4. Step 4: Simplify right side
    36,454,984.50x = 7,405,536,085,875,200
  5. Step 5: Solve for x
    x = 7,405,536,085,875,200/36,454,984.50
  6. Step 6: Final answer
    x = 203,141,934.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.