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Finding the Third Proportional to 155,212,165.50 and 243,482,425.50

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Solution

The third proportional to 155,212,165.50 and 243,482,425.50 is: 381,952,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,212,165.50 : 243,482,425.50 = 243,482,425.50 : x
  2. Step 2: Convert to fraction form
    155,212,165.50/243,482,425.50 = 243,482,425.50/x
  3. Step 3: Cross multiply
    155,212,165.50x = 243,482,425.50 × 243,482,425.50
  4. Step 4: Simplify right side
    155,212,165.50x = 59,283,691,527,363,048
  5. Step 5: Solve for x
    x = 59,283,691,527,363,048/155,212,165.50
  6. Step 6: Final answer
    x = 381,952,608.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.