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Finding the Third Proportional to 189,488,534 and 414,638,236

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Solution

The third proportional to 189,488,534 and 414,638,236 is: 907,310,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,488,534 : 414,638,236 = 414,638,236 : x
  2. Step 2: Convert to fraction form
    189,488,534/414,638,236 = 414,638,236/x
  3. Step 3: Cross multiply
    189,488,534x = 414,638,236 × 414,638,236
  4. Step 4: Simplify right side
    189,488,534x = 171,924,866,753,191,680
  5. Step 5: Solve for x
    x = 171,924,866,753,191,680/189,488,534
  6. Step 6: Final answer
    x = 907,310,131.77

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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.