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Finding the Third Proportional to 134,261,041.50 and 289,181,029.50

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Solution

The third proportional to 134,261,041.50 and 289,181,029.50 is: 622,858,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,261,041.50 : 289,181,029.50 = 289,181,029.50 : x
  2. Step 2: Convert to fraction form
    134,261,041.50/289,181,029.50 = 289,181,029.50/x
  3. Step 3: Cross multiply
    134,261,041.50x = 289,181,029.50 × 289,181,029.50
  4. Step 4: Simplify right side
    134,261,041.50x = 83,625,667,822,679,872
  5. Step 5: Solve for x
    x = 83,625,667,822,679,872/134,261,041.50
  6. Step 6: Final answer
    x = 622,858,774.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.