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Finding the Third Proportional to 220,145,516.93 and 471,804,199.45

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Solution

The third proportional to 220,145,516.93 and 471,804,199.45 is: 1,011,145,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,145,516.93 : 471,804,199.45 = 471,804,199.45 : x
  2. Step 2: Convert to fraction form
    220,145,516.93/471,804,199.45 = 471,804,199.45/x
  3. Step 3: Cross multiply
    220,145,516.93x = 471,804,199.45 × 471,804,199.45
  4. Step 4: Simplify right side
    220,145,516.93x = 222,599,202,621,599,424
  5. Step 5: Solve for x
    x = 222,599,202,621,599,424/220,145,516.93
  6. Step 6: Final answer
    x = 1,011,145,744.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.