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Finding the Third Proportional to 268,494,880 and 414,238,736

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Solution

The third proportional to 268,494,880 and 414,238,736 is: 639,094,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,494,880 : 414,238,736 = 414,238,736 : x
  2. Step 2: Convert to fraction form
    268,494,880/414,238,736 = 414,238,736/x
  3. Step 3: Cross multiply
    268,494,880x = 414,238,736 × 414,238,736
  4. Step 4: Simplify right side
    268,494,880x = 171,593,730,402,877,696
  5. Step 5: Solve for x
    x = 171,593,730,402,877,696/268,494,880
  6. Step 6: Final answer
    x = 639,094,981.64

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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.