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Finding the Third Proportional to 808,211,181 and 1,182,083,674.50

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Solution

The third proportional to 808,211,181 and 1,182,083,674.50 is: 1,728,906,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,211,181 : 1,182,083,674.50 = 1,182,083,674.50 : x
  2. Step 2: Convert to fraction form
    808,211,181/1,182,083,674.50 = 1,182,083,674.50/x
  3. Step 3: Cross multiply
    808,211,181x = 1,182,083,674.50 × 1,182,083,674.50
  4. Step 4: Simplify right side
    808,211,181x = 1,397,321,813,519,421,952
  5. Step 5: Solve for x
    x = 1,397,321,813,519,421,952/808,211,181
  6. Step 6: Final answer
    x = 1,728,906,808.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.