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Finding the Third Proportional to 218,190,772 and 484,809,099

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Solution

The third proportional to 218,190,772 and 484,809,099 is: 1,077,221,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,190,772 : 484,809,099 = 484,809,099 : x
  2. Step 2: Convert to fraction form
    218,190,772/484,809,099 = 484,809,099/x
  3. Step 3: Cross multiply
    218,190,772x = 484,809,099 × 484,809,099
  4. Step 4: Simplify right side
    218,190,772x = 235,039,862,473,191,808
  5. Step 5: Solve for x
    x = 235,039,862,473,191,808/218,190,772
  6. Step 6: Final answer
    x = 1,077,221,828.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.