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Finding the Third Proportional to 55,880,798 and 122,149,849

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Solution

The third proportional to 55,880,798 and 122,149,849 is: 267,007,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,880,798 : 122,149,849 = 122,149,849 : x
  2. Step 2: Convert to fraction form
    55,880,798/122,149,849 = 122,149,849/x
  3. Step 3: Cross multiply
    55,880,798x = 122,149,849 × 122,149,849
  4. Step 4: Simplify right side
    55,880,798x = 14,920,585,610,722,800
  5. Step 5: Solve for x
    x = 14,920,585,610,722,800/55,880,798
  6. Step 6: Final answer
    x = 267,007,382.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.