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Finding the Third Proportional to 100,606,896 and 204,913,440

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Solution

The third proportional to 100,606,896 and 204,913,440 is: 417,362,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,606,896 : 204,913,440 = 204,913,440 : x
  2. Step 2: Convert to fraction form
    100,606,896/204,913,440 = 204,913,440/x
  3. Step 3: Cross multiply
    100,606,896x = 204,913,440 × 204,913,440
  4. Step 4: Simplify right side
    100,606,896x = 41,989,517,892,633,600
  5. Step 5: Solve for x
    x = 41,989,517,892,633,600/100,606,896
  6. Step 6: Final answer
    x = 417,362,224.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.