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Finding the Third Proportional to 238,930,904 and 521,292,347

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Solution

The third proportional to 238,930,904 and 521,292,347 is: 1,137,340,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,930,904 : 521,292,347 = 521,292,347 : x
  2. Step 2: Convert to fraction form
    238,930,904/521,292,347 = 521,292,347/x
  3. Step 3: Cross multiply
    238,930,904x = 521,292,347 × 521,292,347
  4. Step 4: Simplify right side
    238,930,904x = 271,745,711,040,768,416
  5. Step 5: Solve for x
    x = 271,745,711,040,768,416/238,930,904
  6. Step 6: Final answer
    x = 1,137,340,153.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.