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Finding the Third Proportional to 157,112,804.25 and 341,420,543.44

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Solution

The third proportional to 157,112,804.25 and 341,420,543.44 is: 741,938,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,112,804.25 : 341,420,543.44 = 341,420,543.44 : x
  2. Step 2: Convert to fraction form
    157,112,804.25/341,420,543.44 = 341,420,543.44/x
  3. Step 3: Cross multiply
    157,112,804.25x = 341,420,543.44 × 341,420,543.44
  4. Step 4: Simplify right side
    157,112,804.25x = 116,567,987,481,157,824
  5. Step 5: Solve for x
    x = 116,567,987,481,157,824/157,112,804.25
  6. Step 6: Final answer
    x = 741,938,176.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.