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Finding the Third Proportional to 167,336,651,032 and 358,546,072,824

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Solution

The third proportional to 167,336,651,032 and 358,546,072,824 is: 768,243,451,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,336,651,032 : 358,546,072,824 = 358,546,072,824 : x
  2. Step 2: Convert to fraction form
    167,336,651,032/358,546,072,824 = 358,546,072,824/x
  3. Step 3: Cross multiply
    167,336,651,032x = 358,546,072,824 × 358,546,072,824
  4. Step 4: Simplify right side
    167,336,651,032x = 128,555,286,337,513,116,925,952
  5. Step 5: Solve for x
    x = 128,555,286,337,513,116,925,952/167,336,651,032
  6. Step 6: Final answer
    x = 768,243,451,417.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.