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Finding the Third Proportional to 200,112,358 and 433,627,132

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Solution

The third proportional to 200,112,358 and 433,627,132 is: 939,634,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,112,358 : 433,627,132 = 433,627,132 : x
  2. Step 2: Convert to fraction form
    200,112,358/433,627,132 = 433,627,132/x
  3. Step 3: Cross multiply
    200,112,358x = 433,627,132 × 433,627,132
  4. Step 4: Simplify right side
    200,112,358x = 188,032,489,606,545,408
  5. Step 5: Solve for x
    x = 188,032,489,606,545,408/200,112,358
  6. Step 6: Final answer
    x = 939,634,570.73

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Why These Related Problems?

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