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Finding the Third Proportional to 83,640,017.18 and 117,575,616.45

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Solution

The third proportional to 83,640,017.18 and 117,575,616.45 is: 165,280,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640,017.18 : 117,575,616.45 = 117,575,616.45 : x
  2. Step 2: Convert to fraction form
    83,640,017.18/117,575,616.45 = 117,575,616.45/x
  3. Step 3: Cross multiply
    83,640,017.18x = 117,575,616.45 × 117,575,616.45
  4. Step 4: Simplify right side
    83,640,017.18x = 13,824,025,582,494,650
  5. Step 5: Solve for x
    x = 13,824,025,582,494,650/83,640,017.18
  6. Step 6: Final answer
    x = 165,280,042.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.