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Finding the Third Proportional to 315,157,902 and 503,471,491.50

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Solution

The third proportional to 315,157,902 and 503,471,491.50 is: 804,306,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,157,902 : 503,471,491.50 = 503,471,491.50 : x
  2. Step 2: Convert to fraction form
    315,157,902/503,471,491.50 = 503,471,491.50/x
  3. Step 3: Cross multiply
    315,157,902x = 503,471,491.50 × 503,471,491.50
  4. Step 4: Simplify right side
    315,157,902x = 253,483,542,753,234,560
  5. Step 5: Solve for x
    x = 253,483,542,753,234,560/315,157,902
  6. Step 6: Final answer
    x = 804,306,479.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.