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Finding the Third Proportional to 200,857,943 and 435,234,498

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Solution

The third proportional to 200,857,943 and 435,234,498 is: 943,099,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857,943 : 435,234,498 = 435,234,498 : x
  2. Step 2: Convert to fraction form
    200,857,943/435,234,498 = 435,234,498/x
  3. Step 3: Cross multiply
    200,857,943x = 435,234,498 × 435,234,498
  4. Step 4: Simplify right side
    200,857,943x = 189,429,068,249,312,000
  5. Step 5: Solve for x
    x = 189,429,068,249,312,000/200,857,943
  6. Step 6: Final answer
    x = 943,099,712.26

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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.