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Finding the Third Proportional to 76,675,404.94 and 165,042,511.88

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Solution

The third proportional to 76,675,404.94 and 165,042,511.88 is: 355,251,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,404.94 : 165,042,511.88 = 165,042,511.88 : x
  2. Step 2: Convert to fraction form
    76,675,404.94/165,042,511.88 = 165,042,511.88/x
  3. Step 3: Cross multiply
    76,675,404.94x = 165,042,511.88 × 165,042,511.88
  4. Step 4: Simplify right side
    76,675,404.94x = 27,239,030,726,009,516
  5. Step 5: Solve for x
    x = 27,239,030,726,009,516/76,675,404.94
  6. Step 6: Final answer
    x = 355,251,214.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.