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Finding the Third Proportional to 45,273,073 and 98,202,210

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Solution

The third proportional to 45,273,073 and 98,202,210 is: 213,011,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,073 : 98,202,210 = 98,202,210 : x
  2. Step 2: Convert to fraction form
    45,273,073/98,202,210 = 98,202,210/x
  3. Step 3: Cross multiply
    45,273,073x = 98,202,210 × 98,202,210
  4. Step 4: Simplify right side
    45,273,073x = 9,643,674,048,884,100
  5. Step 5: Solve for x
    x = 9,643,674,048,884,100/45,273,073
  6. Step 6: Final answer
    x = 213,011,253.93

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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.