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Finding the Third Proportional to 193,513,968 and 417,812,256

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Solution

The third proportional to 193,513,968 and 417,812,256 is: 902,090,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,968 : 417,812,256 = 417,812,256 : x
  2. Step 2: Convert to fraction form
    193,513,968/417,812,256 = 417,812,256/x
  3. Step 3: Cross multiply
    193,513,968x = 417,812,256 × 417,812,256
  4. Step 4: Simplify right side
    193,513,968x = 174,567,081,263,809,536
  5. Step 5: Solve for x
    x = 174,567,081,263,809,536/193,513,968
  6. Step 6: Final answer
    x = 902,090,340.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.