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Finding the Third Proportional to 215,913,723 and 470,163,126

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Solution

The third proportional to 215,913,723 and 470,163,126 is: 1,023,804,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913,723 : 470,163,126 = 470,163,126 : x
  2. Step 2: Convert to fraction form
    215,913,723/470,163,126 = 470,163,126/x
  3. Step 3: Cross multiply
    215,913,723x = 470,163,126 × 470,163,126
  4. Step 4: Simplify right side
    215,913,723x = 221,053,365,050,091,872
  5. Step 5: Solve for x
    x = 221,053,365,050,091,872/215,913,723
  6. Step 6: Final answer
    x = 1,023,804,147.22

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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.