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Finding the Third Proportional to 40,899,658.50 and 89,621,295.75

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Solution

The third proportional to 40,899,658.50 and 89,621,295.75 is: 196,382,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,899,658.50 : 89,621,295.75 = 89,621,295.75 : x
  2. Step 2: Convert to fraction form
    40,899,658.50/89,621,295.75 = 89,621,295.75/x
  3. Step 3: Cross multiply
    40,899,658.50x = 89,621,295.75 × 89,621,295.75
  4. Step 4: Simplify right side
    40,899,658.50x = 8,031,976,651,908,968
  5. Step 5: Solve for x
    x = 8,031,976,651,908,968/40,899,658.50
  6. Step 6: Final answer
    x = 196,382,486.96

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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.