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Finding the Third Proportional to 106,638,521,942 and 229,325,774,764

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Solution

The third proportional to 106,638,521,942 and 229,325,774,764 is: 493,164,290,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638,521,942 : 229,325,774,764 = 229,325,774,764 : x
  2. Step 2: Convert to fraction form
    106,638,521,942/229,325,774,764 = 229,325,774,764/x
  3. Step 3: Cross multiply
    106,638,521,942x = 229,325,774,764 × 229,325,774,764
  4. Step 4: Simplify right side
    106,638,521,942x = 52,590,310,971,108,860,362,752
  5. Step 5: Solve for x
    x = 52,590,310,971,108,860,362,752/106,638,521,942
  6. Step 6: Final answer
    x = 493,164,290,102.52

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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.