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Finding the Third Proportional to 51,052,068 and 109,280,216

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Solution

The third proportional to 51,052,068 and 109,280,216 is: 233,921,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052,068 : 109,280,216 = 109,280,216 : x
  2. Step 2: Convert to fraction form
    51,052,068/109,280,216 = 109,280,216/x
  3. Step 3: Cross multiply
    51,052,068x = 109,280,216 × 109,280,216
  4. Step 4: Simplify right side
    51,052,068x = 11,942,165,609,006,656
  5. Step 5: Solve for x
    x = 11,942,165,609,006,656/51,052,068
  6. Step 6: Final answer
    x = 233,921,290.10

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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.