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Finding the Third Proportional to 220,119,210 and 479,791,410.75

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Solution

The third proportional to 220,119,210 and 479,791,410.75 is: 1,045,796,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,119,210 : 479,791,410.75 = 479,791,410.75 : x
  2. Step 2: Convert to fraction form
    220,119,210/479,791,410.75 = 479,791,410.75/x
  3. Step 3: Cross multiply
    220,119,210x = 479,791,410.75 × 479,791,410.75
  4. Step 4: Simplify right side
    220,119,210x = 230,199,797,829,475,200
  5. Step 5: Solve for x
    x = 230,199,797,829,475,200/220,119,210
  6. Step 6: Final answer
    x = 1,045,796,038.56

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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.