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Finding the Third Proportional to 199,526,160 and 466,183,137

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Solution

The third proportional to 199,526,160 and 466,183,137 is: 1,089,214,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,526,160 : 466,183,137 = 466,183,137 : x
  2. Step 2: Convert to fraction form
    199,526,160/466,183,137 = 466,183,137/x
  3. Step 3: Cross multiply
    199,526,160x = 466,183,137 × 466,183,137
  4. Step 4: Simplify right side
    199,526,160x = 217,326,717,223,160,768
  5. Step 5: Solve for x
    x = 217,326,717,223,160,768/199,526,160
  6. Step 6: Final answer
    x = 1,089,214,152.29

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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.