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Finding the Third Proportional to 149,725,707,599 and 332,927,946,664

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Solution

The third proportional to 149,725,707,599 and 332,927,946,664 is: 740,293,830,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725,707,599 : 332,927,946,664 = 332,927,946,664 : x
  2. Step 2: Convert to fraction form
    149,725,707,599/332,927,946,664 = 332,927,946,664/x
  3. Step 3: Cross multiply
    149,725,707,599x = 332,927,946,664 × 332,927,946,664
  4. Step 4: Simplify right side
    149,725,707,599x = 110,841,017,669,907,231,277,056
  5. Step 5: Solve for x
    x = 110,841,017,669,907,231,277,056/149,725,707,599
  6. Step 6: Final answer
    x = 740,293,830,948.29

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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.