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Finding the Third Proportional to 164,485,584 and 361,252,255.50

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Solution

The third proportional to 164,485,584 and 361,252,255.50 is: 793,402,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,485,584 : 361,252,255.50 = 361,252,255.50 : x
  2. Step 2: Convert to fraction form
    164,485,584/361,252,255.50 = 361,252,255.50/x
  3. Step 3: Cross multiply
    164,485,584x = 361,252,255.50 × 361,252,255.50
  4. Step 4: Simplify right side
    164,485,584x = 130,503,192,103,837,280
  5. Step 5: Solve for x
    x = 130,503,192,103,837,280/164,485,584
  6. Step 6: Final answer
    x = 793,402,004.79

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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.