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Finding the Third Proportional to 118,733,593.50 and 181,631,382.75

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Solution

The third proportional to 118,733,593.50 and 181,631,382.75 is: 277,848,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,733,593.50 : 181,631,382.75 = 181,631,382.75 : x
  2. Step 2: Convert to fraction form
    118,733,593.50/181,631,382.75 = 181,631,382.75/x
  3. Step 3: Cross multiply
    118,733,593.50x = 181,631,382.75 × 181,631,382.75
  4. Step 4: Simplify right side
    118,733,593.50x = 32,989,959,199,676,996
  5. Step 5: Solve for x
    x = 32,989,959,199,676,996/118,733,593.50
  6. Step 6: Final answer
    x = 277,848,570.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.