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Finding the Third Proportional to 218,485,677 and 468,135,352.50

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Solution

The third proportional to 218,485,677 and 468,135,352.50 is: 1,003,043,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,677 : 468,135,352.50 = 468,135,352.50 : x
  2. Step 2: Convert to fraction form
    218,485,677/468,135,352.50 = 468,135,352.50/x
  3. Step 3: Cross multiply
    218,485,677x = 468,135,352.50 × 468,135,352.50
  4. Step 4: Simplify right side
    218,485,677x = 219,150,708,260,299,264
  5. Step 5: Solve for x
    x = 219,150,708,260,299,264/218,485,677
  6. Step 6: Final answer
    x = 1,003,043,820.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.