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Finding the Third Proportional to 117,927,324 and 255,171,096

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Solution

The third proportional to 117,927,324 and 255,171,096 is: 552,139,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,927,324 : 255,171,096 = 255,171,096 : x
  2. Step 2: Convert to fraction form
    117,927,324/255,171,096 = 255,171,096/x
  3. Step 3: Cross multiply
    117,927,324x = 255,171,096 × 255,171,096
  4. Step 4: Simplify right side
    117,927,324x = 65,112,288,233,841,216
  5. Step 5: Solve for x
    x = 65,112,288,233,841,216/117,927,324
  6. Step 6: Final answer
    x = 552,139,114.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.