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Finding the Third Proportional to 136,968,147.44 and 293,329,800.88

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Solution

The third proportional to 136,968,147.44 and 293,329,800.88 is: 628,192,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,968,147.44 : 293,329,800.88 = 293,329,800.88 : x
  2. Step 2: Convert to fraction form
    136,968,147.44/293,329,800.88 = 293,329,800.88/x
  3. Step 3: Cross multiply
    136,968,147.44x = 293,329,800.88 × 293,329,800.88
  4. Step 4: Simplify right side
    136,968,147.44x = 86,042,372,081,367,152
  5. Step 5: Solve for x
    x = 86,042,372,081,367,152/136,968,147.44
  6. Step 6: Final answer
    x = 628,192,566.60

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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.