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Finding the Third Proportional to 149,725,707,597 and 332,927,946,660

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Solution

The third proportional to 149,725,707,597 and 332,927,946,660 is: 740,293,830,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725,707,597 : 332,927,946,660 = 332,927,946,660 : x
  2. Step 2: Convert to fraction form
    149,725,707,597/332,927,946,660 = 332,927,946,660/x
  3. Step 3: Cross multiply
    149,725,707,597x = 332,927,946,660 × 332,927,946,660
  4. Step 4: Simplify right side
    149,725,707,597x = 110,841,017,667,243,797,905,408
  5. Step 5: Solve for x
    x = 110,841,017,667,243,797,905,408/149,725,707,597
  6. Step 6: Final answer
    x = 740,293,830,940.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.