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Finding the Third Proportional to 183,070,876 and 271,438,570

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Solution

The third proportional to 183,070,876 and 271,438,570 is: 402,461,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,070,876 : 271,438,570 = 271,438,570 : x
  2. Step 2: Convert to fraction form
    183,070,876/271,438,570 = 271,438,570/x
  3. Step 3: Cross multiply
    183,070,876x = 271,438,570 × 271,438,570
  4. Step 4: Simplify right side
    183,070,876x = 73,678,897,283,644,896
  5. Step 5: Solve for x
    x = 73,678,897,283,644,896/183,070,876
  6. Step 6: Final answer
    x = 402,461,051.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.