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Finding the Third Proportional to 269,562,180 and 385,211,365.50

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Solution

The third proportional to 269,562,180 and 385,211,365.50 is: 550,477,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,562,180 : 385,211,365.50 = 385,211,365.50 : x
  2. Step 2: Convert to fraction form
    269,562,180/385,211,365.50 = 385,211,365.50/x
  3. Step 3: Cross multiply
    269,562,180x = 385,211,365.50 × 385,211,365.50
  4. Step 4: Simplify right side
    269,562,180x = 148,387,796,110,374,592
  5. Step 5: Solve for x
    x = 148,387,796,110,374,592/269,562,180
  6. Step 6: Final answer
    x = 550,477,059.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.