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Finding the Third Proportional to 153,313,144.03 and 334,374,363.56

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Solution

The third proportional to 153,313,144.03 and 334,374,363.56 is: 729,266,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,313,144.03 : 334,374,363.56 = 334,374,363.56 : x
  2. Step 2: Convert to fraction form
    153,313,144.03/334,374,363.56 = 334,374,363.56/x
  3. Step 3: Cross multiply
    153,313,144.03x = 334,374,363.56 × 334,374,363.56
  4. Step 4: Simplify right side
    153,313,144.03x = 111,806,215,007,826,928
  5. Step 5: Solve for x
    x = 111,806,215,007,826,928/153,313,144.03
  6. Step 6: Final answer
    x = 729,266,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.