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Finding the Third Proportional to 93,574,646 and 208,665,100

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Solution

The third proportional to 93,574,646 and 208,665,100 is: 465,308,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,574,646 : 208,665,100 = 208,665,100 : x
  2. Step 2: Convert to fraction form
    93,574,646/208,665,100 = 208,665,100/x
  3. Step 3: Cross multiply
    93,574,646x = 208,665,100 × 208,665,100
  4. Step 4: Simplify right side
    93,574,646x = 43,541,123,958,010,000
  5. Step 5: Solve for x
    x = 43,541,123,958,010,000/93,574,646
  6. Step 6: Final answer
    x = 465,308,989.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.