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Finding the Third Proportional to 148,554,997,358 and 326,294,026,936

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Solution

The third proportional to 148,554,997,358 and 326,294,026,936 is: 716,689,400,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,554,997,358 : 326,294,026,936 = 326,294,026,936 : x
  2. Step 2: Convert to fraction form
    148,554,997,358/326,294,026,936 = 326,294,026,936/x
  3. Step 3: Cross multiply
    148,554,997,358x = 326,294,026,936 × 326,294,026,936
  4. Step 4: Simplify right side
    148,554,997,358x = 106,467,792,014,111,085,166,592
  5. Step 5: Solve for x
    x = 106,467,792,014,111,085,166,592/148,554,997,358
  6. Step 6: Final answer
    x = 716,689,400,609.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.