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Finding the Third Proportional to 54,684,655.50 and 118,757,878.50

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Solution

The third proportional to 54,684,655.50 and 118,757,878.50 is: 257,904,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684,655.50 : 118,757,878.50 = 118,757,878.50 : x
  2. Step 2: Convert to fraction form
    54,684,655.50/118,757,878.50 = 118,757,878.50/x
  3. Step 3: Cross multiply
    54,684,655.50x = 118,757,878.50 × 118,757,878.50
  4. Step 4: Simplify right side
    54,684,655.50x = 14,103,433,705,820,762
  5. Step 5: Solve for x
    x = 14,103,433,705,820,762/54,684,655.50
  6. Step 6: Final answer
    x = 257,904,773.78

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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.