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Finding the Third Proportional to 202,172,385 and 310,558,947

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Solution

The third proportional to 202,172,385 and 310,558,947 is: 477,052,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172,385 : 310,558,947 = 310,558,947 : x
  2. Step 2: Convert to fraction form
    202,172,385/310,558,947 = 310,558,947/x
  3. Step 3: Cross multiply
    202,172,385x = 310,558,947 × 310,558,947
  4. Step 4: Simplify right side
    202,172,385x = 96,446,859,561,748,816
  5. Step 5: Solve for x
    x = 96,446,859,561,748,816/202,172,385
  6. Step 6: Final answer
    x = 477,052,588.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.