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Finding the Third Proportional to 102,766,296 and 210,980,538

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Solution

The third proportional to 102,766,296 and 210,980,538 is: 433,145,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766,296 : 210,980,538 = 210,980,538 : x
  2. Step 2: Convert to fraction form
    102,766,296/210,980,538 = 210,980,538/x
  3. Step 3: Cross multiply
    102,766,296x = 210,980,538 × 210,980,538
  4. Step 4: Simplify right side
    102,766,296x = 44,512,787,414,769,440
  5. Step 5: Solve for x
    x = 44,512,787,414,769,440/102,766,296
  6. Step 6: Final answer
    x = 433,145,779.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.