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Finding the Third Proportional to 269,689,164 and 580,309,113

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Solution

The third proportional to 269,689,164 and 580,309,113 is: 1,248,691,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,689,164 : 580,309,113 = 580,309,113 : x
  2. Step 2: Convert to fraction form
    269,689,164/580,309,113 = 580,309,113/x
  3. Step 3: Cross multiply
    269,689,164x = 580,309,113 × 580,309,113
  4. Step 4: Simplify right side
    269,689,164x = 336,758,666,630,846,784
  5. Step 5: Solve for x
    x = 336,758,666,630,846,784/269,689,164
  6. Step 6: Final answer
    x = 1,248,691,870.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.