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Finding the Third Proportional to 195,261,705 and 417,004,929

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Solution

The third proportional to 195,261,705 and 417,004,929 is: 890,564,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,261,705 : 417,004,929 = 417,004,929 : x
  2. Step 2: Convert to fraction form
    195,261,705/417,004,929 = 417,004,929/x
  3. Step 3: Cross multiply
    195,261,705x = 417,004,929 × 417,004,929
  4. Step 4: Simplify right side
    195,261,705x = 173,893,110,810,295,040
  5. Step 5: Solve for x
    x = 173,893,110,810,295,040/195,261,705
  6. Step 6: Final answer
    x = 890,564,336.77

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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.