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Finding the Third Proportional to 117,499,331,316 and 176,373,361,542

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Solution

The third proportional to 117,499,331,316 and 176,373,361,542 is: 264,746,720,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,499,331,316 : 176,373,361,542 = 176,373,361,542 : x
  2. Step 2: Convert to fraction form
    117,499,331,316/176,373,361,542 = 176,373,361,542/x
  3. Step 3: Cross multiply
    117,499,331,316x = 176,373,361,542 × 176,373,361,542
  4. Step 4: Simplify right side
    117,499,331,316x = 31,107,562,661,625,045,450,752
  5. Step 5: Solve for x
    x = 31,107,562,661,625,045,450,752/117,499,331,316
  6. Step 6: Final answer
    x = 264,746,720,795.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.