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Finding the Third Proportional to 97,738,578 and 143,616,073.50

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Solution

The third proportional to 97,738,578 and 143,616,073.50 is: 211,027,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738,578 : 143,616,073.50 = 143,616,073.50 : x
  2. Step 2: Convert to fraction form
    97,738,578/143,616,073.50 = 143,616,073.50/x
  3. Step 3: Cross multiply
    97,738,578x = 143,616,073.50 × 143,616,073.50
  4. Step 4: Simplify right side
    97,738,578x = 20,625,576,567,557,404
  5. Step 5: Solve for x
    x = 20,625,576,567,557,404/97,738,578
  6. Step 6: Final answer
    x = 211,027,999.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.