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Finding the Third Proportional to 164,016,909 and 334,632,541.50

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Solution

The third proportional to 164,016,909 and 334,632,541.50 is: 682,728,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,016,909 : 334,632,541.50 = 334,632,541.50 : x
  2. Step 2: Convert to fraction form
    164,016,909/334,632,541.50 = 334,632,541.50/x
  3. Step 3: Cross multiply
    164,016,909x = 334,632,541.50 × 334,632,541.50
  4. Step 4: Simplify right side
    164,016,909x = 111,978,937,830,749,216
  5. Step 5: Solve for x
    x = 111,978,937,830,749,216/164,016,909
  6. Step 6: Final answer
    x = 682,728,009.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.