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Finding the Third Proportional to 44,961,866 and 106,103,297

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Solution

The third proportional to 44,961,866 and 106,103,297 is: 250,387,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,961,866 : 106,103,297 = 106,103,297 : x
  2. Step 2: Convert to fraction form
    44,961,866/106,103,297 = 106,103,297/x
  3. Step 3: Cross multiply
    44,961,866x = 106,103,297 × 106,103,297
  4. Step 4: Simplify right side
    44,961,866x = 11,257,909,634,270,208
  5. Step 5: Solve for x
    x = 11,257,909,634,270,208/44,961,866
  6. Step 6: Final answer
    x = 250,387,953.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.