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Finding the Third Proportional to 45,989,432 and 100,143,663

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Solution

The third proportional to 45,989,432 and 100,143,663 is: 218,066,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989,432 : 100,143,663 = 100,143,663 : x
  2. Step 2: Convert to fraction form
    45,989,432/100,143,663 = 100,143,663/x
  3. Step 3: Cross multiply
    45,989,432x = 100,143,663 × 100,143,663
  4. Step 4: Simplify right side
    45,989,432x = 10,028,753,239,057,568
  5. Step 5: Solve for x
    x = 10,028,753,239,057,568/45,989,432
  6. Step 6: Final answer
    x = 218,066,473.16

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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.