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Finding the Third Proportional to 97,472,856 and 214,075,238

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Solution

The third proportional to 97,472,856 and 214,075,238 is: 470,163,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,472,856 : 214,075,238 = 214,075,238 : x
  2. Step 2: Convert to fraction form
    97,472,856/214,075,238 = 214,075,238/x
  3. Step 3: Cross multiply
    97,472,856x = 214,075,238 × 214,075,238
  4. Step 4: Simplify right side
    97,472,856x = 45,828,207,524,756,640
  5. Step 5: Solve for x
    x = 45,828,207,524,756,640/97,472,856
  6. Step 6: Final answer
    x = 470,163,791.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.