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Finding the Third Proportional to 168,556,171,168 and 243,534,559,564

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Solution

The third proportional to 168,556,171,168 and 243,534,559,564 is: 351,865,382,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,556,171,168 : 243,534,559,564 = 243,534,559,564 : x
  2. Step 2: Convert to fraction form
    168,556,171,168/243,534,559,564 = 243,534,559,564/x
  3. Step 3: Cross multiply
    168,556,171,168x = 243,534,559,564 × 243,534,559,564
  4. Step 4: Simplify right side
    168,556,171,168x = 59,309,081,702,031,465,381,888
  5. Step 5: Solve for x
    x = 59,309,081,702,031,465,381,888/168,556,171,168
  6. Step 6: Final answer
    x = 351,865,382,863.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.