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Finding the Third Proportional to 201,352,838 and 310,647,888

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Solution

The third proportional to 201,352,838 and 310,647,888 is: 479,268,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352,838 : 310,647,888 = 310,647,888 : x
  2. Step 2: Convert to fraction form
    201,352,838/310,647,888 = 310,647,888/x
  3. Step 3: Cross multiply
    201,352,838x = 310,647,888 × 310,647,888
  4. Step 4: Simplify right side
    201,352,838x = 96,502,110,318,860,544
  5. Step 5: Solve for x
    x = 96,502,110,318,860,544/201,352,838
  6. Step 6: Final answer
    x = 479,268,687.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.