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Finding the Third Proportional to 101,259,785.81 and 220,918,012.24

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Solution

The third proportional to 101,259,785.81 and 220,918,012.24 is: 481,975,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,259,785.81 : 220,918,012.24 = 220,918,012.24 : x
  2. Step 2: Convert to fraction form
    101,259,785.81/220,918,012.24 = 220,918,012.24/x
  3. Step 3: Cross multiply
    101,259,785.81x = 220,918,012.24 × 220,918,012.24
  4. Step 4: Simplify right side
    101,259,785.81x = 48,804,768,133,040,416
  5. Step 5: Solve for x
    x = 48,804,768,133,040,416/101,259,785.81
  6. Step 6: Final answer
    x = 481,975,818.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.