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Finding the Third Proportional to 55,390,314 and 128,218,555

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Solution

The third proportional to 55,390,314 and 128,218,555 is: 296,802,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390,314 : 128,218,555 = 128,218,555 : x
  2. Step 2: Convert to fraction form
    55,390,314/128,218,555 = 128,218,555/x
  3. Step 3: Cross multiply
    55,390,314x = 128,218,555 × 128,218,555
  4. Step 4: Simplify right side
    55,390,314x = 16,439,997,846,288,024
  5. Step 5: Solve for x
    x = 16,439,997,846,288,024/55,390,314
  6. Step 6: Final answer
    x = 296,802,755.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.