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Finding the Third Proportional to 45,273,073.50 and 98,202,213

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Solution

The third proportional to 45,273,073.50 and 98,202,213 is: 213,011,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,073.50 : 98,202,213 = 98,202,213 : x
  2. Step 2: Convert to fraction form
    45,273,073.50/98,202,213 = 98,202,213/x
  3. Step 3: Cross multiply
    45,273,073.50x = 98,202,213 × 98,202,213
  4. Step 4: Simplify right side
    45,273,073.50x = 9,643,674,638,097,368
  5. Step 5: Solve for x
    x = 9,643,674,638,097,368/45,273,073.50
  6. Step 6: Final answer
    x = 213,011,264.59

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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.