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Finding the Third Proportional to 120,830,784 and 178,981,147.50

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Solution

The third proportional to 120,830,784 and 178,981,147.50 is: 265,116,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830,784 : 178,981,147.50 = 178,981,147.50 : x
  2. Step 2: Convert to fraction form
    120,830,784/178,981,147.50 = 178,981,147.50/x
  3. Step 3: Cross multiply
    120,830,784x = 178,981,147.50 × 178,981,147.50
  4. Step 4: Simplify right side
    120,830,784x = 32,034,251,160,416,756
  5. Step 5: Solve for x
    x = 32,034,251,160,416,756/120,830,784
  6. Step 6: Final answer
    x = 265,116,637.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.