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Finding the Third Proportional to 111,169,830 and 241,476,916.50

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Solution

The third proportional to 111,169,830 and 241,476,916.50 is: 524,522,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,169,830 : 241,476,916.50 = 241,476,916.50 : x
  2. Step 2: Convert to fraction form
    111,169,830/241,476,916.50 = 241,476,916.50/x
  3. Step 3: Cross multiply
    111,169,830x = 241,476,916.50 × 241,476,916.50
  4. Step 4: Simplify right side
    111,169,830x = 58,311,101,202,347,976
  5. Step 5: Solve for x
    x = 58,311,101,202,347,976/111,169,830
  6. Step 6: Final answer
    x = 524,522,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.