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Finding the Third Proportional to 146,648,063.36 and 318,518,814.80

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Solution

The third proportional to 146,648,063.36 and 318,518,814.80 is: 691,821,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648,063.36 : 318,518,814.80 = 318,518,814.80 : x
  2. Step 2: Convert to fraction form
    146,648,063.36/318,518,814.80 = 318,518,814.80/x
  3. Step 3: Cross multiply
    146,648,063.36x = 318,518,814.80 × 318,518,814.80
  4. Step 4: Simplify right side
    146,648,063.36x = 101,454,235,379,609,152
  5. Step 5: Solve for x
    x = 101,454,235,379,609,152/146,648,063.36
  6. Step 6: Final answer
    x = 691,821,174.17

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