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Finding the Third Proportional to 54,993,024.50 and 119,444,563.50

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Solution

The third proportional to 54,993,024.50 and 119,444,563.50 is: 259,432,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993,024.50 : 119,444,563.50 = 119,444,563.50 : x
  2. Step 2: Convert to fraction form
    54,993,024.50/119,444,563.50 = 119,444,563.50/x
  3. Step 3: Cross multiply
    54,993,024.50x = 119,444,563.50 × 119,444,563.50
  4. Step 4: Simplify right side
    54,993,024.50x = 14,267,003,749,705,532
  5. Step 5: Solve for x
    x = 14,267,003,749,705,532/54,993,024.50
  6. Step 6: Final answer
    x = 259,432,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.