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Finding the Third Proportional to 206,153,641 and 441,817,562

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Solution

The third proportional to 206,153,641 and 441,817,562 is: 946,879,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153,641 : 441,817,562 = 441,817,562 : x
  2. Step 2: Convert to fraction form
    206,153,641/441,817,562 = 441,817,562/x
  3. Step 3: Cross multiply
    206,153,641x = 441,817,562 × 441,817,562
  4. Step 4: Simplify right side
    206,153,641x = 195,202,758,091,623,840
  5. Step 5: Solve for x
    x = 195,202,758,091,623,840/206,153,641
  6. Step 6: Final answer
    x = 946,879,992.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.