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Finding the Third Proportional to 219,531,485.25 and 477,325,264.50

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Solution

The third proportional to 219,531,485.25 and 477,325,264.50 is: 1,037,843,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,485.25 : 477,325,264.50 = 477,325,264.50 : x
  2. Step 2: Convert to fraction form
    219,531,485.25/477,325,264.50 = 477,325,264.50/x
  3. Step 3: Cross multiply
    219,531,485.25x = 477,325,264.50 × 477,325,264.50
  4. Step 4: Simplify right side
    219,531,485.25x = 227,839,408,129,994,976
  5. Step 5: Solve for x
    x = 227,839,408,129,994,976/219,531,485.25
  6. Step 6: Final answer
    x = 1,037,843,878.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.