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Finding the Third Proportional to 193,937,692 and 418,639,832

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Solution

The third proportional to 193,937,692 and 418,639,832 is: 903,688,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,937,692 : 418,639,832 = 418,639,832 : x
  2. Step 2: Convert to fraction form
    193,937,692/418,639,832 = 418,639,832/x
  3. Step 3: Cross multiply
    193,937,692x = 418,639,832 × 418,639,832
  4. Step 4: Simplify right side
    193,937,692x = 175,259,308,936,988,224
  5. Step 5: Solve for x
    x = 175,259,308,936,988,224/193,937,692
  6. Step 6: Final answer
    x = 903,688,742.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.