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Finding the Third Proportional to 193,905,827 and 414,685,509

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Solution

The third proportional to 193,905,827 and 414,685,509 is: 886,843,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,905,827 : 414,685,509 = 414,685,509 : x
  2. Step 2: Convert to fraction form
    193,905,827/414,685,509 = 414,685,509/x
  3. Step 3: Cross multiply
    193,905,827x = 414,685,509 × 414,685,509
  4. Step 4: Simplify right side
    193,905,827x = 171,964,071,374,589,088
  5. Step 5: Solve for x
    x = 171,964,071,374,589,088/193,905,827
  6. Step 6: Final answer
    x = 886,843,237.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.