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Finding the Third Proportional to 45,273,071 and 98,202,206

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Solution

The third proportional to 45,273,071 and 98,202,206 is: 213,011,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,071 : 98,202,206 = 98,202,206 : x
  2. Step 2: Convert to fraction form
    45,273,071/98,202,206 = 98,202,206/x
  3. Step 3: Cross multiply
    45,273,071x = 98,202,206 × 98,202,206
  4. Step 4: Simplify right side
    45,273,071x = 9,643,673,263,266,436
  5. Step 5: Solve for x
    x = 9,643,673,263,266,436/45,273,071
  6. Step 6: Final answer
    x = 213,011,245.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.