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Finding the Third Proportional to 267,336,301.50 and 425,384,608.50

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Solution

The third proportional to 267,336,301.50 and 425,384,608.50 is: 676,870,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,336,301.50 : 425,384,608.50 = 425,384,608.50 : x
  2. Step 2: Convert to fraction form
    267,336,301.50/425,384,608.50 = 425,384,608.50/x
  3. Step 3: Cross multiply
    267,336,301.50x = 425,384,608.50 × 425,384,608.50
  4. Step 4: Simplify right side
    267,336,301.50x = 180,952,065,148,698,272
  5. Step 5: Solve for x
    x = 180,952,065,148,698,272/267,336,301.50
  6. Step 6: Final answer
    x = 676,870,533.98

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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.