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Finding the Third Proportional to 210,463,968,285 and 491,099,563,840.50

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Solution

The third proportional to 210,463,968,285 and 491,099,563,840.50 is: 1,145,938,583,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463,968,285 : 491,099,563,840.50 = 491,099,563,840.50 : x
  2. Step 2: Convert to fraction form
    210,463,968,285/491,099,563,840.50 = 491,099,563,840.50/x
  3. Step 3: Cross multiply
    210,463,968,285x = 491,099,563,840.50 × 491,099,563,840.50
  4. Step 4: Simplify right side
    210,463,968,285x = 241,178,781,604,329,350,496,256
  5. Step 5: Solve for x
    x = 241,178,781,604,329,350,496,256/210,463,968,285
  6. Step 6: Final answer
    x = 1,145,938,583,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.