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Finding the Third Proportional to 188,017,720 and 412,356,115

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Solution

The third proportional to 188,017,720 and 412,356,115 is: 904,369,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017,720 : 412,356,115 = 412,356,115 : x
  2. Step 2: Convert to fraction form
    188,017,720/412,356,115 = 412,356,115/x
  3. Step 3: Cross multiply
    188,017,720x = 412,356,115 × 412,356,115
  4. Step 4: Simplify right side
    188,017,720x = 170,037,565,577,893,216
  5. Step 5: Solve for x
    x = 170,037,565,577,893,216/188,017,720
  6. Step 6: Final answer
    x = 904,369,894.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.