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Finding the Third Proportional to 71,973,109 and 155,414,656

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Solution

The third proportional to 71,973,109 and 155,414,656 is: 335,593,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,973,109 : 155,414,656 = 155,414,656 : x
  2. Step 2: Convert to fraction form
    71,973,109/155,414,656 = 155,414,656/x
  3. Step 3: Cross multiply
    71,973,109x = 155,414,656 × 155,414,656
  4. Step 4: Simplify right side
    71,973,109x = 24,153,715,299,598,336
  5. Step 5: Solve for x
    x = 24,153,715,299,598,336/71,973,109
  6. Step 6: Final answer
    x = 335,593,607.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.