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Finding the Third Proportional to 37,992,649.50 and 89,597,224.69

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Solution

The third proportional to 37,992,649.50 and 89,597,224.69 is: 211,295,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,992,649.50 : 89,597,224.69 = 89,597,224.69 : x
  2. Step 2: Convert to fraction form
    37,992,649.50/89,597,224.69 = 89,597,224.69/x
  3. Step 3: Cross multiply
    37,992,649.50x = 89,597,224.69 × 89,597,224.69
  4. Step 4: Simplify right side
    37,992,649.50x = 8,027,662,671,702,359
  5. Step 5: Solve for x
    x = 8,027,662,671,702,359/37,992,649.50
  6. Step 6: Final answer
    x = 211,295,152.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.