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Finding the Third Proportional to 180,605,951 and 395,716,201

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Solution

The third proportional to 180,605,951 and 395,716,201 is: 867,032,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605,951 : 395,716,201 = 395,716,201 : x
  2. Step 2: Convert to fraction form
    180,605,951/395,716,201 = 395,716,201/x
  3. Step 3: Cross multiply
    180,605,951x = 395,716,201 × 395,716,201
  4. Step 4: Simplify right side
    180,605,951x = 156,591,311,733,872,416
  5. Step 5: Solve for x
    x = 156,591,311,733,872,416/180,605,951
  6. Step 6: Final answer
    x = 867,032,956.93

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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.