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Finding the Third Proportional to 255,554,091 and 417,252,640.50

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Solution

The third proportional to 255,554,091 and 417,252,640.50 is: 681,263,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,554,091 : 417,252,640.50 = 417,252,640.50 : x
  2. Step 2: Convert to fraction form
    255,554,091/417,252,640.50 = 417,252,640.50/x
  3. Step 3: Cross multiply
    255,554,091x = 417,252,640.50 × 417,252,640.50
  4. Step 4: Simplify right side
    255,554,091x = 174,099,766,004,222,240
  5. Step 5: Solve for x
    x = 174,099,766,004,222,240/255,554,091
  6. Step 6: Final answer
    x = 681,263,858.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.