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Finding the Third Proportional to 164,565,744 and 353,898,000

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Solution

The third proportional to 164,565,744 and 353,898,000 is: 761,056,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565,744 : 353,898,000 = 353,898,000 : x
  2. Step 2: Convert to fraction form
    164,565,744/353,898,000 = 353,898,000/x
  3. Step 3: Cross multiply
    164,565,744x = 353,898,000 × 353,898,000
  4. Step 4: Simplify right side
    164,565,744x = 125,243,794,404,000,000
  5. Step 5: Solve for x
    x = 125,243,794,404,000,000/164,565,744
  6. Step 6: Final answer
    x = 761,056,288.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.