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Finding the Third Proportional to 114,705,375.75 and 175,349,670.75

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Solution

The third proportional to 114,705,375.75 and 175,349,670.75 is: 268,056,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705,375.75 : 175,349,670.75 = 175,349,670.75 : x
  2. Step 2: Convert to fraction form
    114,705,375.75/175,349,670.75 = 175,349,670.75/x
  3. Step 3: Cross multiply
    114,705,375.75x = 175,349,670.75 × 175,349,670.75
  4. Step 4: Simplify right side
    114,705,375.75x = 30,747,507,032,133,404
  5. Step 5: Solve for x
    x = 30,747,507,032,133,404/114,705,375.75
  6. Step 6: Final answer
    x = 268,056,373.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.