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Finding the Third Proportional to 164,647,354.50 and 325,130,661

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Solution

The third proportional to 164,647,354.50 and 325,130,661 is: 642,038,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647,354.50 : 325,130,661 = 325,130,661 : x
  2. Step 2: Convert to fraction form
    164,647,354.50/325,130,661 = 325,130,661/x
  3. Step 3: Cross multiply
    164,647,354.50x = 325,130,661 × 325,130,661
  4. Step 4: Simplify right side
    164,647,354.50x = 105,709,946,722,296,928
  5. Step 5: Solve for x
    x = 105,709,946,722,296,928/164,647,354.50
  6. Step 6: Final answer
    x = 642,038,537.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.