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Finding the Third Proportional to 40,685,315.25 and 89,271,987.25

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Solution

The third proportional to 40,685,315.25 and 89,271,987.25 is: 195,881,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,685,315.25 : 89,271,987.25 = 89,271,987.25 : x
  2. Step 2: Convert to fraction form
    40,685,315.25/89,271,987.25 = 89,271,987.25/x
  3. Step 3: Cross multiply
    40,685,315.25x = 89,271,987.25 × 89,271,987.25
  4. Step 4: Simplify right side
    40,685,315.25x = 7,969,487,707,564,163
  5. Step 5: Solve for x
    x = 7,969,487,707,564,163/40,685,315.25
  6. Step 6: Final answer
    x = 195,881,183.63

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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.