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Finding the Third Proportional to 106,638,521,946 and 229,325,774,772

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Solution

The third proportional to 106,638,521,946 and 229,325,774,772 is: 493,164,290,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638,521,946 : 229,325,774,772 = 229,325,774,772 : x
  2. Step 2: Convert to fraction form
    106,638,521,946/229,325,774,772 = 229,325,774,772/x
  3. Step 3: Cross multiply
    106,638,521,946x = 229,325,774,772 × 229,325,774,772
  4. Step 4: Simplify right side
    106,638,521,946x = 52,590,310,974,778,071,056,384
  5. Step 5: Solve for x
    x = 52,590,310,974,778,071,056,384/106,638,521,946
  6. Step 6: Final answer
    x = 493,164,290,118.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.