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Finding the Third Proportional to 54,023,819 and 118,293,490.50

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Solution

The third proportional to 54,023,819 and 118,293,490.50 is: 259,021,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,023,819 : 118,293,490.50 = 118,293,490.50 : x
  2. Step 2: Convert to fraction form
    54,023,819/118,293,490.50 = 118,293,490.50/x
  3. Step 3: Cross multiply
    54,023,819x = 118,293,490.50 × 118,293,490.50
  4. Step 4: Simplify right side
    54,023,819x = 13,993,349,894,673,590
  5. Step 5: Solve for x
    x = 13,993,349,894,673,590/54,023,819
  6. Step 6: Final answer
    x = 259,021,856.54

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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.