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Finding the Third Proportional to 129,352,173,556.50 and 281,481,662,457

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Solution

The third proportional to 129,352,173,556.50 and 281,481,662,457 is: 612,528,758,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,173,556.50 : 281,481,662,457 = 281,481,662,457 : x
  2. Step 2: Convert to fraction form
    129,352,173,556.50/281,481,662,457 = 281,481,662,457/x
  3. Step 3: Cross multiply
    129,352,173,556.50x = 281,481,662,457 × 281,481,662,457
  4. Step 4: Simplify right side
    129,352,173,556.50x = 79,231,926,299,556,476,616,704
  5. Step 5: Solve for x
    x = 79,231,926,299,556,476,616,704/129,352,173,556.50
  6. Step 6: Final answer
    x = 612,528,758,667.89

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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.