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Finding the Third Proportional to 35,949,064.50 and 78,624,200.25

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Solution

The third proportional to 35,949,064.50 and 78,624,200.25 is: 171,958,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949,064.50 : 78,624,200.25 = 78,624,200.25 : x
  2. Step 2: Convert to fraction form
    35,949,064.50/78,624,200.25 = 78,624,200.25/x
  3. Step 3: Cross multiply
    35,949,064.50x = 78,624,200.25 × 78,624,200.25
  4. Step 4: Simplify right side
    35,949,064.50x = 6,181,764,864,952,100
  5. Step 5: Solve for x
    x = 6,181,764,864,952,100/35,949,064.50
  6. Step 6: Final answer
    x = 171,958,991.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.