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Finding the Third Proportional to 45,989,816 and 100,144,438

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Solution

The third proportional to 45,989,816 and 100,144,438 is: 218,068,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989,816 : 100,144,438 = 100,144,438 : x
  2. Step 2: Convert to fraction form
    45,989,816/100,144,438 = 100,144,438/x
  3. Step 3: Cross multiply
    45,989,816x = 100,144,438 × 100,144,438
  4. Step 4: Simplify right side
    45,989,816x = 10,028,908,462,335,844
  5. Step 5: Solve for x
    x = 10,028,908,462,335,844/45,989,816
  6. Step 6: Final answer
    x = 218,068,027.55

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Why These Related Problems?

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