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Finding the Third Proportional to 116,860,262 and 182,364,897

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Solution

The third proportional to 116,860,262 and 182,364,897 is: 284,587,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,860,262 : 182,364,897 = 182,364,897 : x
  2. Step 2: Convert to fraction form
    116,860,262/182,364,897 = 182,364,897/x
  3. Step 3: Cross multiply
    116,860,262x = 182,364,897 × 182,364,897
  4. Step 4: Simplify right side
    116,860,262x = 33,256,955,657,820,608
  5. Step 5: Solve for x
    x = 33,256,955,657,820,608/116,860,262
  6. Step 6: Final answer
    x = 284,587,378.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.