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Finding the Third Proportional to 302,438,437.50 and 467,088,997.50

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Solution

The third proportional to 302,438,437.50 and 467,088,997.50 is: 721,376,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,438,437.50 : 467,088,997.50 = 467,088,997.50 : x
  2. Step 2: Convert to fraction form
    302,438,437.50/467,088,997.50 = 467,088,997.50/x
  3. Step 3: Cross multiply
    302,438,437.50x = 467,088,997.50 × 467,088,997.50
  4. Step 4: Simplify right side
    302,438,437.50x = 218,172,131,585,555,008
  5. Step 5: Solve for x
    x = 218,172,131,585,555,008/302,438,437.50
  6. Step 6: Final answer
    x = 721,376,996.22

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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.