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Finding the Third Proportional to 85,120,216,746 and 187,590,644,590

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Solution

The third proportional to 85,120,216,746 and 187,590,644,590 is: 413,418,236,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,120,216,746 : 187,590,644,590 = 187,590,644,590 : x
  2. Step 2: Convert to fraction form
    85,120,216,746/187,590,644,590 = 187,590,644,590/x
  3. Step 3: Cross multiply
    85,120,216,746x = 187,590,644,590 × 187,590,644,590
  4. Step 4: Simplify right side
    85,120,216,746x = 35,190,249,937,691,698,266,112
  5. Step 5: Solve for x
    x = 35,190,249,937,691,698,266,112/85,120,216,746
  6. Step 6: Final answer
    x = 413,418,236,970.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.