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Finding the Third Proportional to 54,404,750 and 114,950,206

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Solution

The third proportional to 54,404,750 and 114,950,206 is: 242,874,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,404,750 : 114,950,206 = 114,950,206 : x
  2. Step 2: Convert to fraction form
    54,404,750/114,950,206 = 114,950,206/x
  3. Step 3: Cross multiply
    54,404,750x = 114,950,206 × 114,950,206
  4. Step 4: Simplify right side
    54,404,750x = 13,213,549,859,442,436
  5. Step 5: Solve for x
    x = 13,213,549,859,442,436/54,404,750
  6. Step 6: Final answer
    x = 242,874,930.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.