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Finding the Third Proportional to 140,819,028 and 224,070,758

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Solution

The third proportional to 140,819,028 and 224,070,758 is: 356,540,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,819,028 : 224,070,758 = 224,070,758 : x
  2. Step 2: Convert to fraction form
    140,819,028/224,070,758 = 224,070,758/x
  3. Step 3: Cross multiply
    140,819,028x = 224,070,758 × 224,070,758
  4. Step 4: Simplify right side
    140,819,028x = 50,207,704,590,694,560
  5. Step 5: Solve for x
    x = 50,207,704,590,694,560/140,819,028
  6. Step 6: Final answer
    x = 356,540,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.