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Finding the Third Proportional to 173,266,698,891 and 370,378,424,710.50

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Solution

The third proportional to 173,266,698,891 and 370,378,424,710.50 is: 791,728,464,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,266,698,891 : 370,378,424,710.50 = 370,378,424,710.50 : x
  2. Step 2: Convert to fraction form
    173,266,698,891/370,378,424,710.50 = 370,378,424,710.50/x
  3. Step 3: Cross multiply
    173,266,698,891x = 370,378,424,710.50 × 370,378,424,710.50
  4. Step 4: Simplify right side
    173,266,698,891x = 137,180,177,491,031,511,531,520
  5. Step 5: Solve for x
    x = 137,180,177,491,031,511,531,520/173,266,698,891
  6. Step 6: Final answer
    x = 791,728,464,667.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.