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Finding the Third Proportional to 103,046,559 and 222,235,180

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Solution

The third proportional to 103,046,559 and 222,235,180 is: 479,283,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,559 : 222,235,180 = 222,235,180 : x
  2. Step 2: Convert to fraction form
    103,046,559/222,235,180 = 222,235,180/x
  3. Step 3: Cross multiply
    103,046,559x = 222,235,180 × 222,235,180
  4. Step 4: Simplify right side
    103,046,559x = 49,388,475,229,632,400
  5. Step 5: Solve for x
    x = 49,388,475,229,632,400/103,046,559
  6. Step 6: Final answer
    x = 479,283,109.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.