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Finding the Third Proportional to 73,164,791.25 and 105,163,472.25

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Solution

The third proportional to 73,164,791.25 and 105,163,472.25 is: 151,156,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164,791.25 : 105,163,472.25 = 105,163,472.25 : x
  2. Step 2: Convert to fraction form
    73,164,791.25/105,163,472.25 = 105,163,472.25/x
  3. Step 3: Cross multiply
    73,164,791.25x = 105,163,472.25 × 105,163,472.25
  4. Step 4: Simplify right side
    73,164,791.25x = 11,059,355,895,676,520
  5. Step 5: Solve for x
    x = 11,059,355,895,676,520/73,164,791.25
  6. Step 6: Final answer
    x = 151,156,802.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.