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Finding the Third Proportional to 178,398,362 and 384,125,862

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Solution

The third proportional to 178,398,362 and 384,125,862 is: 827,096,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,398,362 : 384,125,862 = 384,125,862 : x
  2. Step 2: Convert to fraction form
    178,398,362/384,125,862 = 384,125,862/x
  3. Step 3: Cross multiply
    178,398,362x = 384,125,862 × 384,125,862
  4. Step 4: Simplify right side
    178,398,362x = 147,552,677,857,243,040
  5. Step 5: Solve for x
    x = 147,552,677,857,243,040/178,398,362
  6. Step 6: Final answer
    x = 827,096,595.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.