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Finding the Third Proportional to 109,083,340 and 235,472,956

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Solution

The third proportional to 109,083,340 and 235,472,956 is: 508,304,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083,340 : 235,472,956 = 235,472,956 : x
  2. Step 2: Convert to fraction form
    109,083,340/235,472,956 = 235,472,956/x
  3. Step 3: Cross multiply
    109,083,340x = 235,472,956 × 235,472,956
  4. Step 4: Simplify right side
    109,083,340x = 55,447,513,007,377,936
  5. Step 5: Solve for x
    x = 55,447,513,007,377,936/109,083,340
  6. Step 6: Final answer
    x = 508,304,137.07

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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.