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Finding the Third Proportional to 83,898,059,481 and 179,763,107,346

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Solution

The third proportional to 83,898,059,481 and 179,763,107,346 is: 385,167,129,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898,059,481 : 179,763,107,346 = 179,763,107,346 : x
  2. Step 2: Convert to fraction form
    83,898,059,481/179,763,107,346 = 179,763,107,346/x
  3. Step 3: Cross multiply
    83,898,059,481x = 179,763,107,346 × 179,763,107,346
  4. Step 4: Simplify right side
    83,898,059,481x = 32,314,774,762,689,520,467,968
  5. Step 5: Solve for x
    x = 32,314,774,762,689,520,467,968/83,898,059,481
  6. Step 6: Final answer
    x = 385,167,129,759.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.