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Finding the Third Proportional to 103,046,557 and 222,235,178

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Solution

The third proportional to 103,046,557 and 222,235,178 is: 479,283,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,557 : 222,235,178 = 222,235,178 : x
  2. Step 2: Convert to fraction form
    103,046,557/222,235,178 = 222,235,178/x
  3. Step 3: Cross multiply
    103,046,557x = 222,235,178 × 222,235,178
  4. Step 4: Simplify right side
    103,046,557x = 49,388,474,340,691,680
  5. Step 5: Solve for x
    x = 49,388,474,340,691,680/103,046,557
  6. Step 6: Final answer
    x = 479,283,110.26

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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.