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Finding the Third Proportional to 103,046,596.75 and 222,235,256

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Solution

The third proportional to 103,046,596.75 and 222,235,256 is: 479,283,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,596.75 : 222,235,256 = 222,235,256 : x
  2. Step 2: Convert to fraction form
    103,046,596.75/222,235,256 = 222,235,256/x
  3. Step 3: Cross multiply
    103,046,596.75x = 222,235,256 × 222,235,256
  4. Step 4: Simplify right side
    103,046,596.75x = 49,388,509,009,385,536
  5. Step 5: Solve for x
    x = 49,388,509,009,385,536/103,046,596.75
  6. Step 6: Final answer
    x = 479,283,261.82

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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.