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Finding the Third Proportional to 156,180,857,632.88 and 219,937,063,147.88

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Solution

The third proportional to 156,180,857,632.88 and 219,937,063,147.88 is: 309,719,849,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,180,857,632.88 : 219,937,063,147.88 = 219,937,063,147.88 : x
  2. Step 2: Convert to fraction form
    156,180,857,632.88/219,937,063,147.88 = 219,937,063,147.88/x
  3. Step 3: Cross multiply
    156,180,857,632.88x = 219,937,063,147.88 × 219,937,063,147.88
  4. Step 4: Simplify right side
    156,180,857,632.88x = 48,372,311,746,114,555,478,016
  5. Step 5: Solve for x
    x = 48,372,311,746,114,555,478,016/156,180,857,632.88
  6. Step 6: Final answer
    x = 309,719,849,661.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.