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Finding the Third Proportional to 228,915,278 and 495,831,868

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Solution

The third proportional to 228,915,278 and 495,831,868 is: 1,073,974,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915,278 : 495,831,868 = 495,831,868 : x
  2. Step 2: Convert to fraction form
    228,915,278/495,831,868 = 495,831,868/x
  3. Step 3: Cross multiply
    228,915,278x = 495,831,868 × 495,831,868
  4. Step 4: Simplify right side
    228,915,278x = 245,849,241,324,369,408
  5. Step 5: Solve for x
    x = 245,849,241,324,369,408/228,915,278
  6. Step 6: Final answer
    x = 1,073,974,806.19

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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.