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Finding the Third Proportional to 85,172,760 and 185,292,294

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Solution

The third proportional to 85,172,760 and 185,292,294 is: 403,101,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172,760 : 185,292,294 = 185,292,294 : x
  2. Step 2: Convert to fraction form
    85,172,760/185,292,294 = 185,292,294/x
  3. Step 3: Cross multiply
    85,172,760x = 185,292,294 × 185,292,294
  4. Step 4: Simplify right side
    85,172,760x = 34,333,234,215,782,436
  5. Step 5: Solve for x
    x = 34,333,234,215,782,436/85,172,760
  6. Step 6: Final answer
    x = 403,101,111.39

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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.