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Finding the Third Proportional to 120,779,759,678 and 180,122,251,293

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Solution

The third proportional to 120,779,759,678 and 180,122,251,293 is: 268,621,377,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779,759,678 : 180,122,251,293 = 180,122,251,293 : x
  2. Step 2: Convert to fraction form
    120,779,759,678/180,122,251,293 = 180,122,251,293/x
  3. Step 3: Cross multiply
    120,779,759,678x = 180,122,251,293 × 180,122,251,293
  4. Step 4: Simplify right side
    120,779,759,678x = 32,444,025,410,858,638,114,816
  5. Step 5: Solve for x
    x = 32,444,025,410,858,638,114,816/120,779,759,678
  6. Step 6: Final answer
    x = 268,621,377,434.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.