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Finding the Third Proportional to 238,930,899.19 and 521,292,337.88

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Solution

The third proportional to 238,930,899.19 and 521,292,337.88 is: 1,137,340,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,930,899.19 : 521,292,337.88 = 521,292,337.88 : x
  2. Step 2: Convert to fraction form
    238,930,899.19/521,292,337.88 = 521,292,337.88/x
  3. Step 3: Cross multiply
    238,930,899.19x = 521,292,337.88 × 521,292,337.88
  4. Step 4: Simplify right side
    238,930,899.19x = 271,745,701,527,183,168
  5. Step 5: Solve for x
    x = 271,745,701,527,183,168/238,930,899.19
  6. Step 6: Final answer
    x = 1,137,340,136.63

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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.