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Finding the Third Proportional to 60,078,872.25 and 123,342,682.50

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Solution

The third proportional to 60,078,872.25 and 123,342,682.50 is: 253,224,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078,872.25 : 123,342,682.50 = 123,342,682.50 : x
  2. Step 2: Convert to fraction form
    60,078,872.25/123,342,682.50 = 123,342,682.50/x
  3. Step 3: Cross multiply
    60,078,872.25x = 123,342,682.50 × 123,342,682.50
  4. Step 4: Simplify right side
    60,078,872.25x = 15,213,417,326,295,806
  5. Step 5: Solve for x
    x = 15,213,417,326,295,806/60,078,872.25
  6. Step 6: Final answer
    x = 253,224,082.89

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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.