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Finding the Third Proportional to 268,529,896 and 414,657,148

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Solution

The third proportional to 268,529,896 and 414,657,148 is: 640,303,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529,896 : 414,657,148 = 414,657,148 : x
  2. Step 2: Convert to fraction form
    268,529,896/414,657,148 = 414,657,148/x
  3. Step 3: Cross multiply
    268,529,896x = 414,657,148 × 414,657,148
  4. Step 4: Simplify right side
    268,529,896x = 171,940,550,387,493,888
  5. Step 5: Solve for x
    x = 171,940,550,387,493,888/268,529,896
  6. Step 6: Final answer
    x = 640,303,195.10

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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.