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Finding the Third Proportional to 152,908,255,668 and 212,606,707,120

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Solution

The third proportional to 152,908,255,668 and 212,606,707,120 is: 295,612,631,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908,255,668 : 212,606,707,120 = 212,606,707,120 : x
  2. Step 2: Convert to fraction form
    152,908,255,668/212,606,707,120 = 212,606,707,120/x
  3. Step 3: Cross multiply
    152,908,255,668x = 212,606,707,120 × 212,606,707,120
  4. Step 4: Simplify right side
    152,908,255,668x = 45,201,611,912,409,457,360,896
  5. Step 5: Solve for x
    x = 45,201,611,912,409,457,360,896/152,908,255,668
  6. Step 6: Final answer
    x = 295,612,631,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.