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Finding the Third Proportional to 200,857,941.42 and 435,234,494.11

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Solution

The third proportional to 200,857,941.42 and 435,234,494.11 is: 943,099,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857,941.42 : 435,234,494.11 = 435,234,494.11 : x
  2. Step 2: Convert to fraction form
    200,857,941.42/435,234,494.11 = 435,234,494.11/x
  3. Step 3: Cross multiply
    200,857,941.42x = 435,234,494.11 × 435,234,494.11
  4. Step 4: Simplify right side
    200,857,941.42x = 189,429,064,862,647,936
  5. Step 5: Solve for x
    x = 189,429,064,862,647,936/200,857,941.42
  6. Step 6: Final answer
    x = 943,099,702.81

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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.