Home / 215,048,154.23-469,147,380.47

Finding the Third Proportional to 215,048,154.23 and 469,147,380.47

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Solution

The third proportional to 215,048,154.23 and 469,147,380.47 is: 1,023,488,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,048,154.23 : 469,147,380.47 = 469,147,380.47 : x
  2. Step 2: Convert to fraction form
    215,048,154.23/469,147,380.47 = 469,147,380.47/x
  3. Step 3: Cross multiply
    215,048,154.23x = 469,147,380.47 × 469,147,380.47
  4. Step 4: Simplify right side
    215,048,154.23x = 220,099,264,600,690,080
  5. Step 5: Solve for x
    x = 220,099,264,600,690,080/215,048,154.23
  6. Step 6: Final answer
    x = 1,023,488,275.84

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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.