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Finding the Third Proportional to 54,023,829 and 118,293,510

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Solution

The third proportional to 54,023,829 and 118,293,510 is: 259,021,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,023,829 : 118,293,510 = 118,293,510 : x
  2. Step 2: Convert to fraction form
    54,023,829/118,293,510 = 118,293,510/x
  3. Step 3: Cross multiply
    54,023,829x = 118,293,510 × 118,293,510
  4. Step 4: Simplify right side
    54,023,829x = 13,993,354,508,120,100
  5. Step 5: Solve for x
    x = 13,993,354,508,120,100/54,023,829
  6. Step 6: Final answer
    x = 259,021,893.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.