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Finding the Third Proportional to 76,963,968 and 160,296,480

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Solution

The third proportional to 76,963,968 and 160,296,480 is: 333,857,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963,968 : 160,296,480 = 160,296,480 : x
  2. Step 2: Convert to fraction form
    76,963,968/160,296,480 = 160,296,480/x
  3. Step 3: Cross multiply
    76,963,968x = 160,296,480 × 160,296,480
  4. Step 4: Simplify right side
    76,963,968x = 25,694,961,500,390,400
  5. Step 5: Solve for x
    x = 25,694,961,500,390,400/76,963,968
  6. Step 6: Final answer
    x = 333,857,026.45

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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.