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Finding the Third Proportional to 89,616,384 and 196,660,224

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Solution

The third proportional to 89,616,384 and 196,660,224 is: 431,564,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,616,384 : 196,660,224 = 196,660,224 : x
  2. Step 2: Convert to fraction form
    89,616,384/196,660,224 = 196,660,224/x
  3. Step 3: Cross multiply
    89,616,384x = 196,660,224 × 196,660,224
  4. Step 4: Simplify right side
    89,616,384x = 38,675,243,703,730,176
  5. Step 5: Solve for x
    x = 38,675,243,703,730,176/89,616,384
  6. Step 6: Final answer
    x = 431,564,430.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.