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Finding the Third Proportional to 146,354,323.50 and 318,216,843

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Solution

The third proportional to 146,354,323.50 and 318,216,843 is: 691,895,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,354,323.50 : 318,216,843 = 318,216,843 : x
  2. Step 2: Convert to fraction form
    146,354,323.50/318,216,843 = 318,216,843/x
  3. Step 3: Cross multiply
    146,354,323.50x = 318,216,843 × 318,216,843
  4. Step 4: Simplify right side
    146,354,323.50x = 101,261,959,168,886,656
  5. Step 5: Solve for x
    x = 101,261,959,168,886,656/146,354,323.50
  6. Step 6: Final answer
    x = 691,895,919.08

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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.