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Finding the Third Proportional to 90,386,048 and 197,673,224

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Solution

The third proportional to 90,386,048 and 197,673,224 is: 432,309,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,386,048 : 197,673,224 = 197,673,224 : x
  2. Step 2: Convert to fraction form
    90,386,048/197,673,224 = 197,673,224/x
  3. Step 3: Cross multiply
    90,386,048x = 197,673,224 × 197,673,224
  4. Step 4: Simplify right side
    90,386,048x = 39,074,703,486,554,176
  5. Step 5: Solve for x
    x = 39,074,703,486,554,176/90,386,048
  6. Step 6: Final answer
    x = 432,309,016.17

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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.