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Finding the Third Proportional to 97,516,224 and 203,103,612

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Solution

The third proportional to 97,516,224 and 203,103,612 is: 423,017,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,516,224 : 203,103,612 = 203,103,612 : x
  2. Step 2: Convert to fraction form
    97,516,224/203,103,612 = 203,103,612/x
  3. Step 3: Cross multiply
    97,516,224x = 203,103,612 × 203,103,612
  4. Step 4: Simplify right side
    97,516,224x = 41,251,077,207,446,544
  5. Step 5: Solve for x
    x = 41,251,077,207,446,544/97,516,224
  6. Step 6: Final answer
    x = 423,017,581.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.