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Finding the Third Proportional to 106,638,521,998 and 229,325,774,864

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Solution

The third proportional to 106,638,521,998 and 229,325,774,864 is: 493,164,290,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638,521,998 : 229,325,774,864 = 229,325,774,864 : x
  2. Step 2: Convert to fraction form
    106,638,521,998/229,325,774,864 = 229,325,774,864/x
  3. Step 3: Cross multiply
    106,638,521,998x = 229,325,774,864 × 229,325,774,864
  4. Step 4: Simplify right side
    106,638,521,998x = 52,590,311,016,974,010,810,368
  5. Step 5: Solve for x
    x = 52,590,311,016,974,010,810,368/106,638,521,998
  6. Step 6: Final answer
    x = 493,164,290,273.64

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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.