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Finding the Third Proportional to 146,648,061.75 and 318,518,828.25

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Solution

The third proportional to 146,648,061.75 and 318,518,828.25 is: 691,821,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648,061.75 : 318,518,828.25 = 318,518,828.25 : x
  2. Step 2: Convert to fraction form
    146,648,061.75/318,518,828.25 = 318,518,828.25/x
  3. Step 3: Cross multiply
    146,648,061.75x = 318,518,828.25 × 318,518,828.25
  4. Step 4: Simplify right side
    146,648,061.75x = 101,454,243,949,752,992
  5. Step 5: Solve for x
    x = 101,454,243,949,752,992/146,648,061.75
  6. Step 6: Final answer
    x = 691,821,240.18

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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.