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Finding the Third Proportional to 148,554,997,356 and 326,294,026,932

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Solution

The third proportional to 148,554,997,356 and 326,294,026,932 is: 716,689,400,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,554,997,356 : 326,294,026,932 = 326,294,026,932 : x
  2. Step 2: Convert to fraction form
    148,554,997,356/326,294,026,932 = 326,294,026,932/x
  3. Step 3: Cross multiply
    148,554,997,356x = 326,294,026,932 × 326,294,026,932
  4. Step 4: Simplify right side
    148,554,997,356x = 106,467,792,011,500,734,906,368
  5. Step 5: Solve for x
    x = 106,467,792,011,500,734,906,368/148,554,997,356
  6. Step 6: Final answer
    x = 716,689,400,601.98

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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.