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Finding the Third Proportional to 129,270,242.25 and 276,456,388.50

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Solution

The third proportional to 129,270,242.25 and 276,456,388.50 is: 591,227,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270,242.25 : 276,456,388.50 = 276,456,388.50 : x
  2. Step 2: Convert to fraction form
    129,270,242.25/276,456,388.50 = 276,456,388.50/x
  3. Step 3: Cross multiply
    129,270,242.25x = 276,456,388.50 × 276,456,388.50
  4. Step 4: Simplify right side
    129,270,242.25x = 76,428,134,742,462,928
  5. Step 5: Solve for x
    x = 76,428,134,742,462,928/129,270,242.25
  6. Step 6: Final answer
    x = 591,227,597.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.