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Finding the Third Proportional to 151,048,306.50 and 233,245,000.50

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Solution

The third proportional to 151,048,306.50 and 233,245,000.50 is: 360,171,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,306.50 : 233,245,000.50 = 233,245,000.50 : x
  2. Step 2: Convert to fraction form
    151,048,306.50/233,245,000.50 = 233,245,000.50/x
  3. Step 3: Cross multiply
    151,048,306.50x = 233,245,000.50 × 233,245,000.50
  4. Step 4: Simplify right side
    151,048,306.50x = 54,403,230,258,245,000
  5. Step 5: Solve for x
    x = 54,403,230,258,245,000/151,048,306.50
  6. Step 6: Final answer
    x = 360,171,070.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.