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Finding the Third Proportional to 137,789,382 and 204,101,137.50

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Solution

The third proportional to 137,789,382 and 204,101,137.50 is: 302,325,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789,382 : 204,101,137.50 = 204,101,137.50 : x
  2. Step 2: Convert to fraction form
    137,789,382/204,101,137.50 = 204,101,137.50/x
  3. Step 3: Cross multiply
    137,789,382x = 204,101,137.50 × 204,101,137.50
  4. Step 4: Simplify right side
    137,789,382x = 41,657,274,328,793,904
  5. Step 5: Solve for x
    x = 41,657,274,328,793,904/137,789,382
  6. Step 6: Final answer
    x = 302,325,721.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.