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Finding the Third Proportional to 193,696,281,058 and 419,623,557,354

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Solution

The third proportional to 193,696,281,058 and 419,623,557,354 is: 909,072,331,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,696,281,058 : 419,623,557,354 = 419,623,557,354 : x
  2. Step 2: Convert to fraction form
    193,696,281,058/419,623,557,354 = 419,623,557,354/x
  3. Step 3: Cross multiply
    193,696,281,058x = 419,623,557,354 × 419,623,557,354
  4. Step 4: Simplify right side
    193,696,281,058x = 176,083,929,886,425,721,339,904
  5. Step 5: Solve for x
    x = 176,083,929,886,425,721,339,904/193,696,281,058
  6. Step 6: Final answer
    x = 909,072,331,820.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.