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Finding the Third Proportional to 142,627,675.50 and 214,282,199.25

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Solution

The third proportional to 142,627,675.50 and 214,282,199.25 is: 321,935,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627,675.50 : 214,282,199.25 = 214,282,199.25 : x
  2. Step 2: Convert to fraction form
    142,627,675.50/214,282,199.25 = 214,282,199.25/x
  3. Step 3: Cross multiply
    142,627,675.50x = 214,282,199.25 × 214,282,199.25
  4. Step 4: Simplify right side
    142,627,675.50x = 45,916,860,915,416,704
  5. Step 5: Solve for x
    x = 45,916,860,915,416,704/142,627,675.50
  6. Step 6: Final answer
    x = 321,935,141.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.