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Finding the Third Proportional to 77,048,604 and 160,474,536

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Solution

The third proportional to 77,048,604 and 160,474,536 is: 334,231,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048,604 : 160,474,536 = 160,474,536 : x
  2. Step 2: Convert to fraction form
    77,048,604/160,474,536 = 160,474,536/x
  3. Step 3: Cross multiply
    77,048,604x = 160,474,536 × 160,474,536
  4. Step 4: Simplify right side
    77,048,604x = 25,752,076,704,415,296
  5. Step 5: Solve for x
    x = 25,752,076,704,415,296/77,048,604
  6. Step 6: Final answer
    x = 334,231,580.68

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Why These Related Problems?

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