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Finding the Third Proportional to 191,401,902 and 419,860,332

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Solution

The third proportional to 191,401,902 and 419,860,332 is: 921,008,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,401,902 : 419,860,332 = 419,860,332 : x
  2. Step 2: Convert to fraction form
    191,401,902/419,860,332 = 419,860,332/x
  3. Step 3: Cross multiply
    191,401,902x = 419,860,332 × 419,860,332
  4. Step 4: Simplify right side
    191,401,902x = 176,282,698,387,150,208
  5. Step 5: Solve for x
    x = 176,282,698,387,150,208/191,401,902
  6. Step 6: Final answer
    x = 921,008,080.62

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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.