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Finding the Third Proportional to 45,640,527.75 and 101,485,597.50

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Solution

The third proportional to 45,640,527.75 and 101,485,597.50 is: 225,661,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,640,527.75 : 101,485,597.50 = 101,485,597.50 : x
  2. Step 2: Convert to fraction form
    45,640,527.75/101,485,597.50 = 101,485,597.50/x
  3. Step 3: Cross multiply
    45,640,527.75x = 101,485,597.50 × 101,485,597.50
  4. Step 4: Simplify right side
    45,640,527.75x = 10,299,326,499,932,006
  5. Step 5: Solve for x
    x = 10,299,326,499,932,006/45,640,527.75
  6. Step 6: Final answer
    x = 225,661,862.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.