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Finding the Third Proportional to 198,036,896 and 302,747,376

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Solution

The third proportional to 198,036,896 and 302,747,376 is: 462,822,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,036,896 : 302,747,376 = 302,747,376 : x
  2. Step 2: Convert to fraction form
    198,036,896/302,747,376 = 302,747,376/x
  3. Step 3: Cross multiply
    198,036,896x = 302,747,376 × 302,747,376
  4. Step 4: Simplify right side
    198,036,896x = 91,655,973,674,885,376
  5. Step 5: Solve for x
    x = 91,655,973,674,885,376/198,036,896
  6. Step 6: Final answer
    x = 462,822,713.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.