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Finding the Third Proportional to 57,528,346.50 and 123,594,741

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Solution

The third proportional to 57,528,346.50 and 123,594,741 is: 265,532,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528,346.50 : 123,594,741 = 123,594,741 : x
  2. Step 2: Convert to fraction form
    57,528,346.50/123,594,741 = 123,594,741/x
  3. Step 3: Cross multiply
    57,528,346.50x = 123,594,741 × 123,594,741
  4. Step 4: Simplify right side
    57,528,346.50x = 15,275,660,002,857,080
  5. Step 5: Solve for x
    x = 15,275,660,002,857,080/57,528,346.50
  6. Step 6: Final answer
    x = 265,532,749.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.