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Finding the Third Proportional to 102,536,753 and 146,522,590

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Solution

The third proportional to 102,536,753 and 146,522,590 is: 209,377,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536,753 : 146,522,590 = 146,522,590 : x
  2. Step 2: Convert to fraction form
    102,536,753/146,522,590 = 146,522,590/x
  3. Step 3: Cross multiply
    102,536,753x = 146,522,590 × 146,522,590
  4. Step 4: Simplify right side
    102,536,753x = 21,468,869,380,308,100
  5. Step 5: Solve for x
    x = 21,468,869,380,308,100/102,536,753
  6. Step 6: Final answer
    x = 209,377,308.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.