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Finding the Third Proportional to 174,750,290 and 291,215,563

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Solution

The third proportional to 174,750,290 and 291,215,563 is: 485,301,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,290 : 291,215,563 = 291,215,563 : x
  2. Step 2: Convert to fraction form
    174,750,290/291,215,563 = 291,215,563/x
  3. Step 3: Cross multiply
    174,750,290x = 291,215,563 × 291,215,563
  4. Step 4: Simplify right side
    174,750,290x = 84,806,504,133,406,976
  5. Step 5: Solve for x
    x = 84,806,504,133,406,976/174,750,290
  6. Step 6: Final answer
    x = 485,301,078.09

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.