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Finding the Third Proportional to 111,297,566 and 153,792,201

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Solution

The third proportional to 111,297,566 and 153,792,201 is: 212,511,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,297,566 : 153,792,201 = 153,792,201 : x
  2. Step 2: Convert to fraction form
    111,297,566/153,792,201 = 153,792,201/x
  3. Step 3: Cross multiply
    111,297,566x = 153,792,201 × 153,792,201
  4. Step 4: Simplify right side
    111,297,566x = 23,652,041,088,424,400
  5. Step 5: Solve for x
    x = 23,652,041,088,424,400/111,297,566
  6. Step 6: Final answer
    x = 212,511,755.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.