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Finding the Third Proportional to 151,048,894.50 and 330,177,729.75

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Solution

The third proportional to 151,048,894.50 and 330,177,729.75 is: 721,735,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,894.50 : 330,177,729.75 = 330,177,729.75 : x
  2. Step 2: Convert to fraction form
    151,048,894.50/330,177,729.75 = 330,177,729.75/x
  3. Step 3: Cross multiply
    151,048,894.50x = 330,177,729.75 × 330,177,729.75
  4. Step 4: Simplify right side
    151,048,894.50x = 109,017,333,222,864,032
  5. Step 5: Solve for x
    x = 109,017,333,222,864,032/151,048,894.50
  6. Step 6: Final answer
    x = 721,735,392.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.