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Finding the Third Proportional to 136,015,334.75 and 295,123,442.75

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Solution

The third proportional to 136,015,334.75 and 295,123,442.75 is: 640,353,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,015,334.75 : 295,123,442.75 = 295,123,442.75 : x
  2. Step 2: Convert to fraction form
    136,015,334.75/295,123,442.75 = 295,123,442.75/x
  3. Step 3: Cross multiply
    136,015,334.75x = 295,123,442.75 × 295,123,442.75
  4. Step 4: Simplify right side
    136,015,334.75x = 87,097,846,460,612,528
  5. Step 5: Solve for x
    x = 87,097,846,460,612,528/136,015,334.75
  6. Step 6: Final answer
    x = 640,353,138.27

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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.