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Finding the Third Proportional to 85,172,794 and 185,292,362

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Solution

The third proportional to 85,172,794 and 185,292,362 is: 403,101,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172,794 : 185,292,362 = 185,292,362 : x
  2. Step 2: Convert to fraction form
    85,172,794/185,292,362 = 185,292,362/x
  3. Step 3: Cross multiply
    85,172,794x = 185,292,362 × 185,292,362
  4. Step 4: Simplify right side
    85,172,794x = 34,333,259,415,539,044
  5. Step 5: Solve for x
    x = 34,333,259,415,539,044/85,172,794
  6. Step 6: Final answer
    x = 403,101,246.34

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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.