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Finding the Third Proportional to 77,048,594 and 160,474,516

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Solution

The third proportional to 77,048,594 and 160,474,516 is: 334,231,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048,594 : 160,474,516 = 160,474,516 : x
  2. Step 2: Convert to fraction form
    77,048,594/160,474,516 = 160,474,516/x
  3. Step 3: Cross multiply
    77,048,594x = 160,474,516 × 160,474,516
  4. Step 4: Simplify right side
    77,048,594x = 25,752,070,285,434,256
  5. Step 5: Solve for x
    x = 25,752,070,285,434,256/77,048,594
  6. Step 6: Final answer
    x = 334,231,540.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.