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Finding the Third Proportional to 194,207,152.50 and 296,157,986.44

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Solution

The third proportional to 194,207,152.50 and 296,157,986.44 is: 451,628,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,207,152.50 : 296,157,986.44 = 296,157,986.44 : x
  2. Step 2: Convert to fraction form
    194,207,152.50/296,157,986.44 = 296,157,986.44/x
  3. Step 3: Cross multiply
    194,207,152.50x = 296,157,986.44 × 296,157,986.44
  4. Step 4: Simplify right side
    194,207,152.50x = 87,709,552,930,714,432
  5. Step 5: Solve for x
    x = 87,709,552,930,714,432/194,207,152.50
  6. Step 6: Final answer
    x = 451,628,849.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.