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Finding the Third Proportional to 82,258,082 and 178,676,276

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Solution

The third proportional to 82,258,082 and 178,676,276 is: 388,110,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258,082 : 178,676,276 = 178,676,276 : x
  2. Step 2: Convert to fraction form
    82,258,082/178,676,276 = 178,676,276/x
  3. Step 3: Cross multiply
    82,258,082x = 178,676,276 × 178,676,276
  4. Step 4: Simplify right side
    82,258,082x = 31,925,211,605,228,176
  5. Step 5: Solve for x
    x = 31,925,211,605,228,176/82,258,082
  6. Step 6: Final answer
    x = 388,110,333.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.