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Finding the Third Proportional to 175,726,490 and 365,997,655

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Solution

The third proportional to 175,726,490 and 365,997,655 is: 762,288,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,490 : 365,997,655 = 365,997,655 : x
  2. Step 2: Convert to fraction form
    175,726,490/365,997,655 = 365,997,655/x
  3. Step 3: Cross multiply
    175,726,490x = 365,997,655 × 365,997,655
  4. Step 4: Simplify right side
    175,726,490x = 133,954,283,465,499,024
  5. Step 5: Solve for x
    x = 133,954,283,465,499,024/175,726,490
  6. Step 6: Final answer
    x = 762,288,505.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.