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Finding the Third Proportional to 64,025,974.50 and 137,762,664.75

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Solution

The third proportional to 64,025,974.50 and 137,762,664.75 is: 296,419,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,025,974.50 : 137,762,664.75 = 137,762,664.75 : x
  2. Step 2: Convert to fraction form
    64,025,974.50/137,762,664.75 = 137,762,664.75/x
  3. Step 3: Cross multiply
    64,025,974.50x = 137,762,664.75 × 137,762,664.75
  4. Step 4: Simplify right side
    64,025,974.50x = 18,978,551,799,020,892
  5. Step 5: Solve for x
    x = 18,978,551,799,020,892/64,025,974.50
  6. Step 6: Final answer
    x = 296,419,569.51

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Why These Related Problems?

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