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Finding the Third Proportional to 89,748,814.50 and 196,522,941

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Solution

The third proportional to 89,748,814.50 and 196,522,941 is: 430,326,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,748,814.50 : 196,522,941 = 196,522,941 : x
  2. Step 2: Convert to fraction form
    89,748,814.50/196,522,941 = 196,522,941/x
  3. Step 3: Cross multiply
    89,748,814.50x = 196,522,941 × 196,522,941
  4. Step 4: Simplify right side
    89,748,814.50x = 38,621,266,339,289,480
  5. Step 5: Solve for x
    x = 38,621,266,339,289,480/89,748,814.50
  6. Step 6: Final answer
    x = 430,326,200.46

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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.