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Finding the Third Proportional to 178,516,812 and 275,853,996

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Solution

The third proportional to 178,516,812 and 275,853,996 is: 426,264,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,516,812 : 275,853,996 = 275,853,996 : x
  2. Step 2: Convert to fraction form
    178,516,812/275,853,996 = 275,853,996/x
  3. Step 3: Cross multiply
    178,516,812x = 275,853,996 × 275,853,996
  4. Step 4: Simplify right side
    178,516,812x = 76,095,427,109,168,016
  5. Step 5: Solve for x
    x = 76,095,427,109,168,016/178,516,812
  6. Step 6: Final answer
    x = 426,264,766.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.