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Finding the Third Proportional to 105,800,421.75 and 163,415,049

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Solution

The third proportional to 105,800,421.75 and 163,415,049 is: 252,404,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800,421.75 : 163,415,049 = 163,415,049 : x
  2. Step 2: Convert to fraction form
    105,800,421.75/163,415,049 = 163,415,049/x
  3. Step 3: Cross multiply
    105,800,421.75x = 163,415,049 × 163,415,049
  4. Step 4: Simplify right side
    105,800,421.75x = 26,704,478,239,672,400
  5. Step 5: Solve for x
    x = 26,704,478,239,672,400/105,800,421.75
  6. Step 6: Final answer
    x = 252,404,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.