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Finding the Third Proportional to 55,459,077 and 119,686,809

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Solution

The third proportional to 55,459,077 and 119,686,809 is: 258,297,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459,077 : 119,686,809 = 119,686,809 : x
  2. Step 2: Convert to fraction form
    55,459,077/119,686,809 = 119,686,809/x
  3. Step 3: Cross multiply
    55,459,077x = 119,686,809 × 119,686,809
  4. Step 4: Simplify right side
    55,459,077x = 14,324,932,248,602,480
  5. Step 5: Solve for x
    x = 14,324,932,248,602,480/55,459,077
  6. Step 6: Final answer
    x = 258,297,343.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.