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Finding the Third Proportional to 52,078,894.31 and 111,996,543.38

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Solution

The third proportional to 52,078,894.31 and 111,996,543.38 is: 240,850,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078,894.31 : 111,996,543.38 = 111,996,543.38 : x
  2. Step 2: Convert to fraction form
    52,078,894.31/111,996,543.38 = 111,996,543.38/x
  3. Step 3: Cross multiply
    52,078,894.31x = 111,996,543.38 × 111,996,543.38
  4. Step 4: Simplify right side
    52,078,894.31x = 12,543,225,727,948,256
  5. Step 5: Solve for x
    x = 12,543,225,727,948,256/52,078,894.31
  6. Step 6: Final answer
    x = 240,850,461.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.