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Finding the Third Proportional to 109,095,704 and 242,405,178

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Solution

The third proportional to 109,095,704 and 242,405,178 is: 538,612,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,095,704 : 242,405,178 = 242,405,178 : x
  2. Step 2: Convert to fraction form
    109,095,704/242,405,178 = 242,405,178/x
  3. Step 3: Cross multiply
    109,095,704x = 242,405,178 × 242,405,178
  4. Step 4: Simplify right side
    109,095,704x = 58,760,270,321,211,680
  5. Step 5: Solve for x
    x = 58,760,270,321,211,680/109,095,704
  6. Step 6: Final answer
    x = 538,612,137.48

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