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Finding the Third Proportional to 215,913,741.75 and 470,163,163.50

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Solution

The third proportional to 215,913,741.75 and 470,163,163.50 is: 1,023,804,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913,741.75 : 470,163,163.50 = 470,163,163.50 : x
  2. Step 2: Convert to fraction form
    215,913,741.75/470,163,163.50 = 470,163,163.50/x
  3. Step 3: Cross multiply
    215,913,741.75x = 470,163,163.50 × 470,163,163.50
  4. Step 4: Simplify right side
    215,913,741.75x = 221,053,400,312,327,744
  5. Step 5: Solve for x
    x = 221,053,400,312,327,744/215,913,741.75
  6. Step 6: Final answer
    x = 1,023,804,221.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.