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Finding the Third Proportional to 131,467,808 and 205,160,530

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Solution

The third proportional to 131,467,808 and 205,160,530 is: 320,160,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,467,808 : 205,160,530 = 205,160,530 : x
  2. Step 2: Convert to fraction form
    131,467,808/205,160,530 = 205,160,530/x
  3. Step 3: Cross multiply
    131,467,808x = 205,160,530 × 205,160,530
  4. Step 4: Simplify right side
    131,467,808x = 42,090,843,069,880,896
  5. Step 5: Solve for x
    x = 42,090,843,069,880,896/131,467,808
  6. Step 6: Final answer
    x = 320,160,834.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.