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Finding the Third Proportional to 81,909,216 and 176,954,688

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Solution

The third proportional to 81,909,216 and 176,954,688 is: 382,288,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909,216 : 176,954,688 = 176,954,688 : x
  2. Step 2: Convert to fraction form
    81,909,216/176,954,688 = 176,954,688/x
  3. Step 3: Cross multiply
    81,909,216x = 176,954,688 × 176,954,688
  4. Step 4: Simplify right side
    81,909,216x = 31,312,961,605,177,344
  5. Step 5: Solve for x
    x = 31,312,961,605,177,344/81,909,216
  6. Step 6: Final answer
    x = 382,288,625.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.