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Finding the Third Proportional to 110,739,056 and 242,320,006

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Solution

The third proportional to 110,739,056 and 242,320,006 is: 530,246,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,739,056 : 242,320,006 = 242,320,006 : x
  2. Step 2: Convert to fraction form
    110,739,056/242,320,006 = 242,320,006/x
  3. Step 3: Cross multiply
    110,739,056x = 242,320,006 × 242,320,006
  4. Step 4: Simplify right side
    110,739,056x = 58,718,985,307,840,032
  5. Step 5: Solve for x
    x = 58,718,985,307,840,032/110,739,056
  6. Step 6: Final answer
    x = 530,246,395.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.