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Finding the Third Proportional to 197,129,405 and 306,446,538

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Solution

The third proportional to 197,129,405 and 306,446,538 is: 476,384,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129,405 : 306,446,538 = 306,446,538 : x
  2. Step 2: Convert to fraction form
    197,129,405/306,446,538 = 306,446,538/x
  3. Step 3: Cross multiply
    197,129,405x = 306,446,538 × 306,446,538
  4. Step 4: Simplify right side
    197,129,405x = 93,909,480,652,185,440
  5. Step 5: Solve for x
    x = 93,909,480,652,185,440/197,129,405
  6. Step 6: Final answer
    x = 476,384,944.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.