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Finding the Third Proportional to 215,152,597,521 and 321,543,074,223

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Solution

The third proportional to 215,152,597,521 and 321,543,074,223 is: 480,542,413,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,152,597,521 : 321,543,074,223 = 321,543,074,223 : x
  2. Step 2: Convert to fraction form
    215,152,597,521/321,543,074,223 = 321,543,074,223/x
  3. Step 3: Cross multiply
    215,152,597,521x = 321,543,074,223 × 321,543,074,223
  4. Step 4: Simplify right side
    215,152,597,521x = 103,389,948,580,777,684,893,696
  5. Step 5: Solve for x
    x = 103,389,948,580,777,684,893,696/215,152,597,521
  6. Step 6: Final answer
    x = 480,542,413,951.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.