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Finding the Third Proportional to 199,526,169 and 466,183,158

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Solution

The third proportional to 199,526,169 and 466,183,158 is: 1,089,214,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,526,169 : 466,183,158 = 466,183,158 : x
  2. Step 2: Convert to fraction form
    199,526,169/466,183,158 = 466,183,158/x
  3. Step 3: Cross multiply
    199,526,169x = 466,183,158 × 466,183,158
  4. Step 4: Simplify right side
    199,526,169x = 217,326,736,802,852,960
  5. Step 5: Solve for x
    x = 217,326,736,802,852,960/199,526,169
  6. Step 6: Final answer
    x = 1,089,214,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.