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Finding the Third Proportional to 51,146,756 and 109,548,520

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Solution

The third proportional to 51,146,756 and 109,548,520 is: 234,636,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146,756 : 109,548,520 = 109,548,520 : x
  2. Step 2: Convert to fraction form
    51,146,756/109,548,520 = 109,548,520/x
  3. Step 3: Cross multiply
    51,146,756x = 109,548,520 × 109,548,520
  4. Step 4: Simplify right side
    51,146,756x = 12,000,878,234,190,400
  5. Step 5: Solve for x
    x = 12,000,878,234,190,400/51,146,756
  6. Step 6: Final answer
    x = 234,636,156.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.