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Finding the Third Proportional to 111,440,214 and 234,160,806

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Solution

The third proportional to 111,440,214 and 234,160,806 is: 492,024,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,440,214 : 234,160,806 = 234,160,806 : x
  2. Step 2: Convert to fraction form
    111,440,214/234,160,806 = 234,160,806/x
  3. Step 3: Cross multiply
    111,440,214x = 234,160,806 × 234,160,806
  4. Step 4: Simplify right side
    111,440,214x = 54,831,283,066,569,632
  5. Step 5: Solve for x
    x = 54,831,283,066,569,632/111,440,214
  6. Step 6: Final answer
    x = 492,024,208.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.