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Finding the Third Proportional to 136,618,869 and 199,804,480

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Solution

The third proportional to 136,618,869 and 199,804,480 is: 292,213,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,618,869 : 199,804,480 = 199,804,480 : x
  2. Step 2: Convert to fraction form
    136,618,869/199,804,480 = 199,804,480/x
  3. Step 3: Cross multiply
    136,618,869x = 199,804,480 × 199,804,480
  4. Step 4: Simplify right side
    136,618,869x = 39,921,830,228,070,400
  5. Step 5: Solve for x
    x = 39,921,830,228,070,400/136,618,869
  6. Step 6: Final answer
    x = 292,213,151.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.