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Finding the Third Proportional to 104,664,729,434 and 228,272,673,388

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Solution

The third proportional to 104,664,729,434 and 228,272,673,388 is: 497,860,298,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,664,729,434 : 228,272,673,388 = 228,272,673,388 : x
  2. Step 2: Convert to fraction form
    104,664,729,434/228,272,673,388 = 228,272,673,388/x
  3. Step 3: Cross multiply
    104,664,729,434x = 228,272,673,388 × 228,272,673,388
  4. Step 4: Simplify right side
    104,664,729,434x = 52,108,413,415,704,525,537,280
  5. Step 5: Solve for x
    x = 52,108,413,415,704,525,537,280/104,664,729,434
  6. Step 6: Final answer
    x = 497,860,298,282.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.