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Finding the Third Proportional to 45,989,818 and 100,144,442

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Solution

The third proportional to 45,989,818 and 100,144,442 is: 218,068,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989,818 : 100,144,442 = 100,144,442 : x
  2. Step 2: Convert to fraction form
    45,989,818/100,144,442 = 100,144,442/x
  3. Step 3: Cross multiply
    45,989,818x = 100,144,442 × 100,144,442
  4. Step 4: Simplify right side
    45,989,818x = 10,028,909,263,491,364
  5. Step 5: Solve for x
    x = 10,028,909,263,491,364/45,989,818
  6. Step 6: Final answer
    x = 218,068,035.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.