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Finding the Third Proportional to 108,144,464 and 167,560,032

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Solution

The third proportional to 108,144,464 and 167,560,032 is: 259,619,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,144,464 : 167,560,032 = 167,560,032 : x
  2. Step 2: Convert to fraction form
    108,144,464/167,560,032 = 167,560,032/x
  3. Step 3: Cross multiply
    108,144,464x = 167,560,032 × 167,560,032
  4. Step 4: Simplify right side
    108,144,464x = 28,076,364,323,841,024
  5. Step 5: Solve for x
    x = 28,076,364,323,841,024/108,144,464
  6. Step 6: Final answer
    x = 259,619,062.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.