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Finding the Third Proportional to 54,851,937.75 and 114,243,999.75

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Solution

The third proportional to 54,851,937.75 and 114,243,999.75 is: 237,944,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851,937.75 : 114,243,999.75 = 114,243,999.75 : x
  2. Step 2: Convert to fraction form
    54,851,937.75/114,243,999.75 = 114,243,999.75/x
  3. Step 3: Cross multiply
    54,851,937.75x = 114,243,999.75 × 114,243,999.75
  4. Step 4: Simplify right side
    54,851,937.75x = 13,051,691,478,878,000
  5. Step 5: Solve for x
    x = 13,051,691,478,878,000/54,851,937.75
  6. Step 6: Final answer
    x = 237,944,036.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.