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Finding the Third Proportional to 94,352,076 and 201,819,906

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Solution

The third proportional to 94,352,076 and 201,819,906 is: 431,694,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,352,076 : 201,819,906 = 201,819,906 : x
  2. Step 2: Convert to fraction form
    94,352,076/201,819,906 = 201,819,906/x
  3. Step 3: Cross multiply
    94,352,076x = 201,819,906 × 201,819,906
  4. Step 4: Simplify right side
    94,352,076x = 40,731,274,457,848,832
  5. Step 5: Solve for x
    x = 40,731,274,457,848,832/94,352,076
  6. Step 6: Final answer
    x = 431,694,523.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.