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Finding the Third Proportional to 189,117,924 and 414,107,688

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Solution

The third proportional to 189,117,924 and 414,107,688 is: 906,763,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117,924 : 414,107,688 = 414,107,688 : x
  2. Step 2: Convert to fraction form
    189,117,924/414,107,688 = 414,107,688/x
  3. Step 3: Cross multiply
    189,117,924x = 414,107,688 × 414,107,688
  4. Step 4: Simplify right side
    189,117,924x = 171,485,177,260,705,344
  5. Step 5: Solve for x
    x = 171,485,177,260,705,344/189,117,924
  6. Step 6: Final answer
    x = 906,763,217.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.