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Finding the Third Proportional to 189,488,532 and 414,638,232

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Solution

The third proportional to 189,488,532 and 414,638,232 is: 907,310,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,488,532 : 414,638,232 = 414,638,232 : x
  2. Step 2: Convert to fraction form
    189,488,532/414,638,232 = 414,638,232/x
  3. Step 3: Cross multiply
    189,488,532x = 414,638,232 × 414,638,232
  4. Step 4: Simplify right side
    189,488,532x = 171,924,863,436,085,824
  5. Step 5: Solve for x
    x = 171,924,863,436,085,824/189,488,532
  6. Step 6: Final answer
    x = 907,310,123.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.