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Finding the Third Proportional to 93,540,071,281 and 192,038,974,240

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Solution

The third proportional to 93,540,071,281 and 192,038,974,240 is: 394,258,493,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,540,071,281 : 192,038,974,240 = 192,038,974,240 : x
  2. Step 2: Convert to fraction form
    93,540,071,281/192,038,974,240 = 192,038,974,240/x
  3. Step 3: Cross multiply
    93,540,071,281x = 192,038,974,240 × 192,038,974,240
  4. Step 4: Simplify right side
    93,540,071,281x = 36,878,967,627,151,384,248,320
  5. Step 5: Solve for x
    x = 36,878,967,627,151,384,248,320/93,540,071,281
  6. Step 6: Final answer
    x = 394,258,493,949.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.