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Finding the Third Proportional to 97,488,481,452.75 and 212,284,044,789.75

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Solution

The third proportional to 97,488,481,452.75 and 212,284,044,789.75 is: 462,254,771,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488,481,452.75 : 212,284,044,789.75 = 212,284,044,789.75 : x
  2. Step 2: Convert to fraction form
    97,488,481,452.75/212,284,044,789.75 = 212,284,044,789.75/x
  3. Step 3: Cross multiply
    97,488,481,452.75x = 212,284,044,789.75 × 212,284,044,789.75
  4. Step 4: Simplify right side
    97,488,481,452.75x = 45,064,515,672,296,583,593,984
  5. Step 5: Solve for x
    x = 45,064,515,672,296,583,593,984/97,488,481,452.75
  6. Step 6: Final answer
    x = 462,254,771,033.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.