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Finding the Third Proportional to 77,042,289 and 170,695,936.50

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Solution

The third proportional to 77,042,289 and 170,695,936.50 is: 378,196,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042,289 : 170,695,936.50 = 170,695,936.50 : x
  2. Step 2: Convert to fraction form
    77,042,289/170,695,936.50 = 170,695,936.50/x
  3. Step 3: Cross multiply
    77,042,289x = 170,695,936.50 × 170,695,936.50
  4. Step 4: Simplify right side
    77,042,289x = 29,137,102,737,612,032
  5. Step 5: Solve for x
    x = 29,137,102,737,612,032/77,042,289
  6. Step 6: Final answer
    x = 378,196,223.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.