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Finding the Third Proportional to 199,371,170,060 and 428,980,659,564

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Solution

The third proportional to 199,371,170,060 and 428,980,659,564 is: 923,024,157,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,371,170,060 : 428,980,659,564 = 428,980,659,564 : x
  2. Step 2: Convert to fraction form
    199,371,170,060/428,980,659,564 = 428,980,659,564/x
  3. Step 3: Cross multiply
    199,371,170,060x = 428,980,659,564 × 428,980,659,564
  4. Step 4: Simplify right side
    199,371,170,060x = 184,024,406,279,964,470,542,336
  5. Step 5: Solve for x
    x = 184,024,406,279,964,470,542,336/199,371,170,060
  6. Step 6: Final answer
    x = 923,024,157,527.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.