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Finding the Third Proportional to 118,470,038 and 178,967,361

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Solution

The third proportional to 118,470,038 and 178,967,361 is: 270,357,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,470,038 : 178,967,361 = 178,967,361 : x
  2. Step 2: Convert to fraction form
    118,470,038/178,967,361 = 178,967,361/x
  3. Step 3: Cross multiply
    118,470,038x = 178,967,361 × 178,967,361
  4. Step 4: Simplify right side
    118,470,038x = 32,029,316,303,304,320
  5. Step 5: Solve for x
    x = 32,029,316,303,304,320/118,470,038
  6. Step 6: Final answer
    x = 270,357,947.41

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Why These Related Problems?

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