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Finding the Third Proportional to 88,310,866,086 and 192,605,069,322

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Solution

The third proportional to 88,310,866,086 and 192,605,069,322 is: 420,069,628,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,310,866,086 : 192,605,069,322 = 192,605,069,322 : x
  2. Step 2: Convert to fraction form
    88,310,866,086/192,605,069,322 = 192,605,069,322/x
  3. Step 3: Cross multiply
    88,310,866,086x = 192,605,069,322 × 192,605,069,322
  4. Step 4: Simplify right side
    88,310,866,086x = 37,096,712,728,532,427,472,896
  5. Step 5: Solve for x
    x = 37,096,712,728,532,427,472,896/88,310,866,086
  6. Step 6: Final answer
    x = 420,069,628,718.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.