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Finding the Third Proportional to 60,078,684.75 and 123,342,324.75

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Solution

The third proportional to 60,078,684.75 and 123,342,324.75 is: 253,223,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078,684.75 : 123,342,324.75 = 123,342,324.75 : x
  2. Step 2: Convert to fraction form
    60,078,684.75/123,342,324.75 = 123,342,324.75/x
  3. Step 3: Cross multiply
    60,078,684.75x = 123,342,324.75 × 123,342,324.75
  4. Step 4: Simplify right side
    60,078,684.75x = 15,213,329,074,734,462
  5. Step 5: Solve for x
    x = 15,213,329,074,734,462/60,078,684.75
  6. Step 6: Final answer
    x = 253,223,404.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.