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Finding the Third Proportional to 201,064,851 and 433,887,129

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Solution

The third proportional to 201,064,851 and 433,887,129 is: 936,305,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064,851 : 433,887,129 = 433,887,129 : x
  2. Step 2: Convert to fraction form
    201,064,851/433,887,129 = 433,887,129/x
  3. Step 3: Cross multiply
    201,064,851x = 433,887,129 × 433,887,129
  4. Step 4: Simplify right side
    201,064,851x = 188,258,040,711,862,656
  5. Step 5: Solve for x
    x = 188,258,040,711,862,656/201,064,851
  6. Step 6: Final answer
    x = 936,305,076.57

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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.