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Finding the Third Proportional to 200,545,674,448 and 303,397,803,832

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Solution

The third proportional to 200,545,674,448 and 303,397,803,832 is: 458,998,817,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,545,674,448 : 303,397,803,832 = 303,397,803,832 : x
  2. Step 2: Convert to fraction form
    200,545,674,448/303,397,803,832 = 303,397,803,832/x
  3. Step 3: Cross multiply
    200,545,674,448x = 303,397,803,832 × 303,397,803,832
  4. Step 4: Simplify right side
    200,545,674,448x = 92,050,227,370,080,755,253,248
  5. Step 5: Solve for x
    x = 92,050,227,370,080,755,253,248/200,545,674,448
  6. Step 6: Final answer
    x = 458,998,817,219.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.