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Finding the Third Proportional to 132,783,370,706 and 203,971,499,094

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Solution

The third proportional to 132,783,370,706 and 203,971,499,094 is: 313,325,171,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,783,370,706 : 203,971,499,094 = 203,971,499,094 : x
  2. Step 2: Convert to fraction form
    132,783,370,706/203,971,499,094 = 203,971,499,094/x
  3. Step 3: Cross multiply
    132,783,370,706x = 203,971,499,094 × 203,971,499,094
  4. Step 4: Simplify right side
    132,783,370,706x = 41,604,372,442,653,640,359,936
  5. Step 5: Solve for x
    x = 41,604,372,442,653,640,359,936/132,783,370,706
  6. Step 6: Final answer
    x = 313,325,171,830.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.