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Finding the Third Proportional to 136,015,324 and 295,123,419

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Solution

The third proportional to 136,015,324 and 295,123,419 is: 640,353,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,015,324 : 295,123,419 = 295,123,419 : x
  2. Step 2: Convert to fraction form
    136,015,324/295,123,419 = 295,123,419/x
  3. Step 3: Cross multiply
    136,015,324x = 295,123,419 × 295,123,419
  4. Step 4: Simplify right side
    136,015,324x = 87,097,832,442,249,568
  5. Step 5: Solve for x
    x = 87,097,832,442,249,568/136,015,324
  6. Step 6: Final answer
    x = 640,353,085.82

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Why These Related Problems?

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