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Finding the Third Proportional to 105,805,315.97 and 163,425,645.56

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Solution

The third proportional to 105,805,315.97 and 163,425,645.56 is: 252,425,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805,315.97 : 163,425,645.56 = 163,425,645.56 : x
  2. Step 2: Convert to fraction form
    105,805,315.97/163,425,645.56 = 163,425,645.56/x
  3. Step 3: Cross multiply
    105,805,315.97x = 163,425,645.56 × 163,425,645.56
  4. Step 4: Simplify right side
    105,805,315.97x = 26,707,941,627,519,876
  5. Step 5: Solve for x
    x = 26,707,941,627,519,876/105,805,315.97
  6. Step 6: Final answer
    x = 252,425,328.38

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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.