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Finding the Third Proportional to 102,569,817,698 and 222,796,447,108

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Solution

The third proportional to 102,569,817,698 and 222,796,447,108 is: 483,946,037,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,569,817,698 : 222,796,447,108 = 222,796,447,108 : x
  2. Step 2: Convert to fraction form
    102,569,817,698/222,796,447,108 = 222,796,447,108/x
  3. Step 3: Cross multiply
    102,569,817,698x = 222,796,447,108 × 222,796,447,108
  4. Step 4: Simplify right side
    102,569,817,698x = 49,638,256,843,947,839,062,016
  5. Step 5: Solve for x
    x = 49,638,256,843,947,839,062,016/102,569,817,698
  6. Step 6: Final answer
    x = 483,946,037,518.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.