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Finding the Third Proportional to 200,112,358.50 and 433,627,132.50

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Solution

The third proportional to 200,112,358.50 and 433,627,132.50 is: 939,634,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,112,358.50 : 433,627,132.50 = 433,627,132.50 : x
  2. Step 2: Convert to fraction form
    200,112,358.50/433,627,132.50 = 433,627,132.50/x
  3. Step 3: Cross multiply
    200,112,358.50x = 433,627,132.50 × 433,627,132.50
  4. Step 4: Simplify right side
    200,112,358.50x = 188,032,490,040,172,544
  5. Step 5: Solve for x
    x = 188,032,490,040,172,544/200,112,358.50
  6. Step 6: Final answer
    x = 939,634,570.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.