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Finding the Third Proportional to 268,530,164 and 414,657,562

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Solution

The third proportional to 268,530,164 and 414,657,562 is: 640,303,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,164 : 414,657,562 = 414,657,562 : x
  2. Step 2: Convert to fraction form
    268,530,164/414,657,562 = 414,657,562/x
  3. Step 3: Cross multiply
    268,530,164x = 414,657,562 × 414,657,562
  4. Step 4: Simplify right side
    268,530,164x = 171,940,893,723,783,840
  5. Step 5: Solve for x
    x = 171,940,893,723,783,840/268,530,164
  6. Step 6: Final answer
    x = 640,303,834.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.