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Finding the Third Proportional to 74,592,382 and 156,915,296

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Solution

The third proportional to 74,592,382 and 156,915,296 is: 330,092,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,592,382 : 156,915,296 = 156,915,296 : x
  2. Step 2: Convert to fraction form
    74,592,382/156,915,296 = 156,915,296/x
  3. Step 3: Cross multiply
    74,592,382x = 156,915,296 × 156,915,296
  4. Step 4: Simplify right side
    74,592,382x = 24,622,410,118,767,616
  5. Step 5: Solve for x
    x = 24,622,410,118,767,616/74,592,382
  6. Step 6: Final answer
    x = 330,092,825.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.