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Finding the Third Proportional to 117,639,802 and 177,972,705

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Solution

The third proportional to 117,639,802 and 177,972,705 is: 269,248,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639,802 : 177,972,705 = 177,972,705 : x
  2. Step 2: Convert to fraction form
    117,639,802/177,972,705 = 177,972,705/x
  3. Step 3: Cross multiply
    117,639,802x = 177,972,705 × 177,972,705
  4. Step 4: Simplify right side
    117,639,802x = 31,674,283,725,017,024
  5. Step 5: Solve for x
    x = 31,674,283,725,017,024/117,639,802
  6. Step 6: Final answer
    x = 269,248,019.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.