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Finding the Third Proportional to 188,185,114 and 407,640,774

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Solution

The third proportional to 188,185,114 and 407,640,774 is: 883,018,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,185,114 : 407,640,774 = 407,640,774 : x
  2. Step 2: Convert to fraction form
    188,185,114/407,640,774 = 407,640,774/x
  3. Step 3: Cross multiply
    188,185,114x = 407,640,774 × 407,640,774
  4. Step 4: Simplify right side
    188,185,114x = 166,171,000,627,319,072
  5. Step 5: Solve for x
    x = 166,171,000,627,319,072/188,185,114
  6. Step 6: Final answer
    x = 883,018,837.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.