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Finding the Third Proportional to 202,089,324 and 438,164,328

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Solution

The third proportional to 202,089,324 and 438,164,328 is: 950,015,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089,324 : 438,164,328 = 438,164,328 : x
  2. Step 2: Convert to fraction form
    202,089,324/438,164,328 = 438,164,328/x
  3. Step 3: Cross multiply
    202,089,324x = 438,164,328 × 438,164,328
  4. Step 4: Simplify right side
    202,089,324x = 191,987,978,331,691,584
  5. Step 5: Solve for x
    x = 191,987,978,331,691,584/202,089,324
  6. Step 6: Final answer
    x = 950,015,441.35

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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.