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Finding the Third Proportional to 55,708,945 and 122,179,561

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Solution

The third proportional to 55,708,945 and 122,179,561 is: 267,961,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708,945 : 122,179,561 = 122,179,561 : x
  2. Step 2: Convert to fraction form
    55,708,945/122,179,561 = 122,179,561/x
  3. Step 3: Cross multiply
    55,708,945x = 122,179,561 × 122,179,561
  4. Step 4: Simplify right side
    55,708,945x = 14,927,845,126,152,720
  5. Step 5: Solve for x
    x = 14,927,845,126,152,720/55,708,945
  6. Step 6: Final answer
    x = 267,961,368.25

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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.