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Finding the Third Proportional to 193,253,966.44 and 417,144,664.13

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Solution

The third proportional to 193,253,966.44 and 417,144,664.13 is: 900,419,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253,966.44 : 417,144,664.13 = 417,144,664.13 : x
  2. Step 2: Convert to fraction form
    193,253,966.44/417,144,664.13 = 417,144,664.13/x
  3. Step 3: Cross multiply
    193,253,966.44x = 417,144,664.13 × 417,144,664.13
  4. Step 4: Simplify right side
    193,253,966.44x = 174,009,670,807,959,072
  5. Step 5: Solve for x
    x = 174,009,670,807,959,072/193,253,966.44
  6. Step 6: Final answer
    x = 900,419,660.28

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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.