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Finding the Third Proportional to 164,485,582.50 and 361,252,252.50

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Solution

The third proportional to 164,485,582.50 and 361,252,252.50 is: 793,401,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,485,582.50 : 361,252,252.50 = 361,252,252.50 : x
  2. Step 2: Convert to fraction form
    164,485,582.50/361,252,252.50 = 361,252,252.50/x
  3. Step 3: Cross multiply
    164,485,582.50x = 361,252,252.50 × 361,252,252.50
  4. Step 4: Simplify right side
    164,485,582.50x = 130,503,189,936,323,760
  5. Step 5: Solve for x
    x = 130,503,189,936,323,760/164,485,582.50
  6. Step 6: Final answer
    x = 793,401,998.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.