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Finding the Third Proportional to 77,264,966 and 165,746,196

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Solution

The third proportional to 77,264,966 and 165,746,196 is: 355,553,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,966 : 165,746,196 = 165,746,196 : x
  2. Step 2: Convert to fraction form
    77,264,966/165,746,196 = 165,746,196/x
  3. Step 3: Cross multiply
    77,264,966x = 165,746,196 × 165,746,196
  4. Step 4: Simplify right side
    77,264,966x = 27,471,801,488,470,416
  5. Step 5: Solve for x
    x = 27,471,801,488,470,416/77,264,966
  6. Step 6: Final answer
    x = 355,553,142.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.