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Finding the Third Proportional to 175,726,273 and 365,997,303

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Solution

The third proportional to 175,726,273 and 365,997,303 is: 762,287,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,273 : 365,997,303 = 365,997,303 : x
  2. Step 2: Convert to fraction form
    175,726,273/365,997,303 = 365,997,303/x
  3. Step 3: Cross multiply
    175,726,273x = 365,997,303 × 365,997,303
  4. Step 4: Simplify right side
    175,726,273x = 133,954,025,803,273,808
  5. Step 5: Solve for x
    x = 133,954,025,803,273,808/175,726,273
  6. Step 6: Final answer
    x = 762,287,980.71

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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.