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Finding the Third Proportional to 200,504,214 and 306,717,112.50

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Solution

The third proportional to 200,504,214 and 306,717,112.50 is: 469,194,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504,214 : 306,717,112.50 = 306,717,112.50 : x
  2. Step 2: Convert to fraction form
    200,504,214/306,717,112.50 = 306,717,112.50/x
  3. Step 3: Cross multiply
    200,504,214x = 306,717,112.50 × 306,717,112.50
  4. Step 4: Simplify right side
    200,504,214x = 94,075,387,100,337,664
  5. Step 5: Solve for x
    x = 94,075,387,100,337,664/200,504,214
  6. Step 6: Final answer
    x = 469,194,064.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.