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Finding the Third Proportional to 76,470,228 and 116,899,741

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Solution

The third proportional to 76,470,228 and 116,899,741 is: 178,704,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470,228 : 116,899,741 = 116,899,741 : x
  2. Step 2: Convert to fraction form
    76,470,228/116,899,741 = 116,899,741/x
  3. Step 3: Cross multiply
    76,470,228x = 116,899,741 × 116,899,741
  4. Step 4: Simplify right side
    76,470,228x = 13,665,549,445,867,080
  5. Step 5: Solve for x
    x = 13,665,549,445,867,080/76,470,228
  6. Step 6: Final answer
    x = 178,704,180.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.