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Finding the Third Proportional to 101,045,621,871 and 217,416,678,165

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Solution

The third proportional to 101,045,621,871 and 217,416,678,165 is: 467,808,610,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,045,621,871 : 217,416,678,165 = 217,416,678,165 : x
  2. Step 2: Convert to fraction form
    101,045,621,871/217,416,678,165 = 217,416,678,165/x
  3. Step 3: Cross multiply
    101,045,621,871x = 217,416,678,165 × 217,416,678,165
  4. Step 4: Simplify right side
    101,045,621,871x = 47,270,011,944,303,188,770,816
  5. Step 5: Solve for x
    x = 47,270,011,944,303,188,770,816/101,045,621,871
  6. Step 6: Final answer
    x = 467,808,610,299.32

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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.