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Finding the Third Proportional to 97,738,578 and 143,616,072

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Solution

The third proportional to 97,738,578 and 143,616,072 is: 211,027,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738,578 : 143,616,072 = 143,616,072 : x
  2. Step 2: Convert to fraction form
    97,738,578/143,616,072 = 143,616,072/x
  3. Step 3: Cross multiply
    97,738,578x = 143,616,072 × 143,616,072
  4. Step 4: Simplify right side
    97,738,578x = 20,625,576,136,709,184
  5. Step 5: Solve for x
    x = 20,625,576,136,709,184/97,738,578
  6. Step 6: Final answer
    x = 211,027,994.87

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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.