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Finding the Third Proportional to 45,989,440 and 100,143,680

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Solution

The third proportional to 45,989,440 and 100,143,680 is: 218,066,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,989,440 : 100,143,680 = 100,143,680 : x
  2. Step 2: Convert to fraction form
    45,989,440/100,143,680 = 100,143,680/x
  3. Step 3: Cross multiply
    45,989,440x = 100,143,680 × 100,143,680
  4. Step 4: Simplify right side
    45,989,440x = 10,028,756,643,942,400
  5. Step 5: Solve for x
    x = 10,028,756,643,942,400/45,989,440
  6. Step 6: Final answer
    x = 218,066,509.27

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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.