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Finding the Third Proportional to 122,822,106.75 and 270,208,597.50

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Solution

The third proportional to 122,822,106.75 and 270,208,597.50 is: 594,458,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,822,106.75 : 270,208,597.50 = 270,208,597.50 : x
  2. Step 2: Convert to fraction form
    122,822,106.75/270,208,597.50 = 270,208,597.50/x
  3. Step 3: Cross multiply
    122,822,106.75x = 270,208,597.50 × 270,208,597.50
  4. Step 4: Simplify right side
    122,822,106.75x = 73,012,686,162,917,008
  5. Step 5: Solve for x
    x = 73,012,686,162,917,008/122,822,106.75
  6. Step 6: Final answer
    x = 594,458,832.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.