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Finding the Third Proportional to 103,325,442.75 and 223,087,729.50

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Solution

The third proportional to 103,325,442.75 and 223,087,729.50 is: 481,663,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,325,442.75 : 223,087,729.50 = 223,087,729.50 : x
  2. Step 2: Convert to fraction form
    103,325,442.75/223,087,729.50 = 223,087,729.50/x
  3. Step 3: Cross multiply
    103,325,442.75x = 223,087,729.50 × 223,087,729.50
  4. Step 4: Simplify right side
    103,325,442.75x = 49,768,135,053,465,168
  5. Step 5: Solve for x
    x = 49,768,135,053,465,168/103,325,442.75
  6. Step 6: Final answer
    x = 481,663,893.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.