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Finding the Third Proportional to 268,530,100 and 414,657,448

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Solution

The third proportional to 268,530,100 and 414,657,448 is: 640,303,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,100 : 414,657,448 = 414,657,448 : x
  2. Step 2: Convert to fraction form
    268,530,100/414,657,448 = 414,657,448/x
  3. Step 3: Cross multiply
    268,530,100x = 414,657,448 × 414,657,448
  4. Step 4: Simplify right side
    268,530,100x = 171,940,799,181,872,704
  5. Step 5: Solve for x
    x = 171,940,799,181,872,704/268,530,100
  6. Step 6: Final answer
    x = 640,303,635.17

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Why These Related Problems?

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