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Finding the Third Proportional to 51,383,148 and 105,490,269

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Solution

The third proportional to 51,383,148 and 105,490,269 is: 216,572,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,148 : 105,490,269 = 105,490,269 : x
  2. Step 2: Convert to fraction form
    51,383,148/105,490,269 = 105,490,269/x
  3. Step 3: Cross multiply
    51,383,148x = 105,490,269 × 105,490,269
  4. Step 4: Simplify right side
    51,383,148x = 11,128,196,853,692,360
  5. Step 5: Solve for x
    x = 11,128,196,853,692,360/51,383,148
  6. Step 6: Final answer
    x = 216,572,889.88

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