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Finding the Third Proportional to 138,063,097.69 and 297,643,384.69

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Solution

The third proportional to 138,063,097.69 and 297,643,384.69 is: 641,674,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063,097.69 : 297,643,384.69 = 297,643,384.69 : x
  2. Step 2: Convert to fraction form
    138,063,097.69/297,643,384.69 = 297,643,384.69/x
  3. Step 3: Cross multiply
    138,063,097.69x = 297,643,384.69 × 297,643,384.69
  4. Step 4: Simplify right side
    138,063,097.69x = 88,591,584,448,231,104
  5. Step 5: Solve for x
    x = 88,591,584,448,231,104/138,063,097.69
  6. Step 6: Final answer
    x = 641,674,610.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.