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Finding the Third Proportional to 200,977,329.94 and 435,342,905.44

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Solution

The third proportional to 200,977,329.94 and 435,342,905.44 is: 943,009,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977,329.94 : 435,342,905.44 = 435,342,905.44 : x
  2. Step 2: Convert to fraction form
    200,977,329.94/435,342,905.44 = 435,342,905.44/x
  3. Step 3: Cross multiply
    200,977,329.94x = 435,342,905.44 × 435,342,905.44
  4. Step 4: Simplify right side
    200,977,329.94x = 189,523,445,314,764,064
  5. Step 5: Solve for x
    x = 189,523,445,314,764,064/200,977,329.94
  6. Step 6: Final answer
    x = 943,009,071.59

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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.