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Finding the Third Proportional to 54,405,046.13 and 114,950,702.25

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Solution

The third proportional to 54,405,046.13 and 114,950,702.25 is: 242,875,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405,046.13 : 114,950,702.25 = 114,950,702.25 : x
  2. Step 2: Convert to fraction form
    54,405,046.13/114,950,702.25 = 114,950,702.25/x
  3. Step 3: Cross multiply
    54,405,046.13x = 114,950,702.25 × 114,950,702.25
  4. Step 4: Simplify right side
    54,405,046.13x = 13,213,663,947,768,156
  5. Step 5: Solve for x
    x = 13,213,663,947,768,156/54,405,046.13
  6. Step 6: Final answer
    x = 242,875,705.27

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