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Finding the Third Proportional to 71,964,945 and 102,564,481.50

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Solution

The third proportional to 71,964,945 and 102,564,481.50 is: 146,174,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964,945 : 102,564,481.50 = 102,564,481.50 : x
  2. Step 2: Convert to fraction form
    71,964,945/102,564,481.50 = 102,564,481.50/x
  3. Step 3: Cross multiply
    71,964,945x = 102,564,481.50 × 102,564,481.50
  4. Step 4: Simplify right side
    71,964,945x = 10,519,472,865,363,842
  5. Step 5: Solve for x
    x = 10,519,472,865,363,842/71,964,945
  6. Step 6: Final answer
    x = 146,174,958.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.