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Finding the Third Proportional to 152,908,255,812 and 212,606,707,477.50

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Solution

The third proportional to 152,908,255,812 and 212,606,707,477.50 is: 295,612,632,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908,255,812 : 212,606,707,477.50 = 212,606,707,477.50 : x
  2. Step 2: Convert to fraction form
    152,908,255,812/212,606,707,477.50 = 212,606,707,477.50/x
  3. Step 3: Cross multiply
    152,908,255,812x = 212,606,707,477.50 × 212,606,707,477.50
  4. Step 4: Simplify right side
    152,908,255,812x = 45,201,612,064,423,256,522,752
  5. Step 5: Solve for x
    x = 45,201,612,064,423,256,522,752/152,908,255,812
  6. Step 6: Final answer
    x = 295,612,632,714.86

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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.