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Finding the Third Proportional to 181,750,334 and 391,214,332

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Solution

The third proportional to 181,750,334 and 391,214,332 is: 842,081,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,750,334 : 391,214,332 = 391,214,332 : x
  2. Step 2: Convert to fraction form
    181,750,334/391,214,332 = 391,214,332/x
  3. Step 3: Cross multiply
    181,750,334x = 391,214,332 × 391,214,332
  4. Step 4: Simplify right side
    181,750,334x = 153,048,653,562,206,208
  5. Step 5: Solve for x
    x = 153,048,653,562,206,208/181,750,334
  6. Step 6: Final answer
    x = 842,081,828.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.