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Finding the Third Proportional to 104,664,729,427 and 228,272,673,374

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Solution

The third proportional to 104,664,729,427 and 228,272,673,374 is: 497,860,298,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,664,729,427 : 228,272,673,374 = 228,272,673,374 : x
  2. Step 2: Convert to fraction form
    104,664,729,427/228,272,673,374 = 228,272,673,374/x
  3. Step 3: Cross multiply
    104,664,729,427x = 228,272,673,374 × 228,272,673,374
  4. Step 4: Simplify right side
    104,664,729,427x = 52,108,413,409,312,884,391,936
  5. Step 5: Solve for x
    x = 52,108,413,409,312,884,391,936/104,664,729,427
  6. Step 6: Final answer
    x = 497,860,298,255.07

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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.