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Finding the Third Proportional to 109,881,690 and 228,806,181

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Solution

The third proportional to 109,881,690 and 228,806,181 is: 476,442,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881,690 : 228,806,181 = 228,806,181 : x
  2. Step 2: Convert to fraction form
    109,881,690/228,806,181 = 228,806,181/x
  3. Step 3: Cross multiply
    109,881,690x = 228,806,181 × 228,806,181
  4. Step 4: Simplify right side
    109,881,690x = 52,352,268,463,804,760
  5. Step 5: Solve for x
    x = 52,352,268,463,804,760/109,881,690
  6. Step 6: Final answer
    x = 476,442,148.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.