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Finding the Third Proportional to 201,971,601.56 and 307,029,735.56

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Solution

The third proportional to 201,971,601.56 and 307,029,735.56 is: 466,735,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971,601.56 : 307,029,735.56 = 307,029,735.56 : x
  2. Step 2: Convert to fraction form
    201,971,601.56/307,029,735.56 = 307,029,735.56/x
  3. Step 3: Cross multiply
    201,971,601.56x = 307,029,735.56 × 307,029,735.56
  4. Step 4: Simplify right side
    201,971,601.56x = 94,267,258,519,578,672
  5. Step 5: Solve for x
    x = 94,267,258,519,578,672/201,971,601.56
  6. Step 6: Final answer
    x = 466,735,213.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.