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Finding the Third Proportional to 205,139,635,396 and 445,592,894,216

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Solution

The third proportional to 205,139,635,396 and 445,592,894,216 is: 967,892,075,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139,635,396 : 445,592,894,216 = 445,592,894,216 : x
  2. Step 2: Convert to fraction form
    205,139,635,396/445,592,894,216 = 445,592,894,216/x
  3. Step 3: Cross multiply
    205,139,635,396x = 445,592,894,216 × 445,592,894,216
  4. Step 4: Simplify right side
    205,139,635,396x = 198,553,027,375,791,356,248,064
  5. Step 5: Solve for x
    x = 198,553,027,375,791,356,248,064/205,139,635,396
  6. Step 6: Final answer
    x = 967,892,075,037.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.