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Finding the Third Proportional to 195,573,883 and 414,464,741

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Solution

The third proportional to 195,573,883 and 414,464,741 is: 878,343,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,573,883 : 414,464,741 = 414,464,741 : x
  2. Step 2: Convert to fraction form
    195,573,883/414,464,741 = 414,464,741/x
  3. Step 3: Cross multiply
    195,573,883x = 414,464,741 × 414,464,741
  4. Step 4: Simplify right side
    195,573,883x = 171,781,021,532,197,088
  5. Step 5: Solve for x
    x = 171,781,021,532,197,088/195,573,883
  6. Step 6: Final answer
    x = 878,343,360.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.