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Finding the Third Proportional to 94,812,850,114 and 136,988,195,364

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Solution

The third proportional to 94,812,850,114 and 136,988,195,364 is: 197,924,286,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,812,850,114 : 136,988,195,364 = 136,988,195,364 : x
  2. Step 2: Convert to fraction form
    94,812,850,114/136,988,195,364 = 136,988,195,364/x
  3. Step 3: Cross multiply
    94,812,850,114x = 136,988,195,364 × 136,988,195,364
  4. Step 4: Simplify right side
    94,812,850,114x = 18,765,765,669,085,431,988,224
  5. Step 5: Solve for x
    x = 18,765,765,669,085,431,988,224/94,812,850,114
  6. Step 6: Final answer
    x = 197,924,286,070.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.