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Finding the Third Proportional to 96,434,424 and 145,548,450

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Solution

The third proportional to 96,434,424 and 145,548,450 is: 219,676,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434,424 : 145,548,450 = 145,548,450 : x
  2. Step 2: Convert to fraction form
    96,434,424/145,548,450 = 145,548,450/x
  3. Step 3: Cross multiply
    96,434,424x = 145,548,450 × 145,548,450
  4. Step 4: Simplify right side
    96,434,424x = 21,184,351,297,402,500
  5. Step 5: Solve for x
    x = 21,184,351,297,402,500/96,434,424
  6. Step 6: Final answer
    x = 219,676,236.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.