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Finding the Third Proportional to 164,862,993 and 255,041,901

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Solution

The third proportional to 164,862,993 and 255,041,901 is: 394,548,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,862,993 : 255,041,901 = 255,041,901 : x
  2. Step 2: Convert to fraction form
    164,862,993/255,041,901 = 255,041,901/x
  3. Step 3: Cross multiply
    164,862,993x = 255,041,901 × 255,041,901
  4. Step 4: Simplify right side
    164,862,993x = 65,046,371,265,693,800
  5. Step 5: Solve for x
    x = 65,046,371,265,693,800/164,862,993
  6. Step 6: Final answer
    x = 394,548,043.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.