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Finding the Third Proportional to 101,045,621,869 and 217,416,678,160

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Solution

The third proportional to 101,045,621,869 and 217,416,678,160 is: 467,808,610,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,045,621,869 : 217,416,678,160 = 217,416,678,160 : x
  2. Step 2: Convert to fraction form
    101,045,621,869/217,416,678,160 = 217,416,678,160/x
  3. Step 3: Cross multiply
    101,045,621,869x = 217,416,678,160 × 217,416,678,160
  4. Step 4: Simplify right side
    101,045,621,869x = 47,270,011,942,129,020,960,768
  5. Step 5: Solve for x
    x = 47,270,011,942,129,020,960,768/101,045,621,869
  6. Step 6: Final answer
    x = 467,808,610,287.06

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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.