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Finding the Third Proportional to 148,701,856 and 322,108,064

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Solution

The third proportional to 148,701,856 and 322,108,064 is: 697,729,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701,856 : 322,108,064 = 322,108,064 : x
  2. Step 2: Convert to fraction form
    148,701,856/322,108,064 = 322,108,064/x
  3. Step 3: Cross multiply
    148,701,856x = 322,108,064 × 322,108,064
  4. Step 4: Simplify right side
    148,701,856x = 103,753,604,893,828,096
  5. Step 5: Solve for x
    x = 103,753,604,893,828,096/148,701,856
  6. Step 6: Final answer
    x = 697,729,051.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.