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Finding the Third Proportional to 45,273,066 and 98,202,196

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Solution

The third proportional to 45,273,066 and 98,202,196 is: 213,011,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,066 : 98,202,196 = 98,202,196 : x
  2. Step 2: Convert to fraction form
    45,273,066/98,202,196 = 98,202,196/x
  3. Step 3: Cross multiply
    45,273,066x = 98,202,196 × 98,202,196
  4. Step 4: Simplify right side
    45,273,066x = 9,643,671,299,222,416
  5. Step 5: Solve for x
    x = 9,643,671,299,222,416/45,273,066
  6. Step 6: Final answer
    x = 213,011,226.13

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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.