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Finding the Third Proportional to 60,078,811.50 and 123,342,574.50

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Solution

The third proportional to 60,078,811.50 and 123,342,574.50 is: 253,223,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078,811.50 : 123,342,574.50 = 123,342,574.50 : x
  2. Step 2: Convert to fraction form
    60,078,811.50/123,342,574.50 = 123,342,574.50/x
  3. Step 3: Cross multiply
    60,078,811.50x = 123,342,574.50 × 123,342,574.50
  4. Step 4: Simplify right side
    60,078,811.50x = 15,213,390,684,288,050
  5. Step 5: Solve for x
    x = 15,213,390,684,288,050/60,078,811.50
  6. Step 6: Final answer
    x = 253,223,895.49

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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.