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Finding the Third Proportional to 42,778,049.63 and 92,375,350.88

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Solution

The third proportional to 42,778,049.63 and 92,375,350.88 is: 199,476,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778,049.63 : 92,375,350.88 = 92,375,350.88 : x
  2. Step 2: Convert to fraction form
    42,778,049.63/92,375,350.88 = 92,375,350.88/x
  3. Step 3: Cross multiply
    42,778,049.63x = 92,375,350.88 × 92,375,350.88
  4. Step 4: Simplify right side
    42,778,049.63x = 8,533,205,449,279,363
  5. Step 5: Solve for x
    x = 8,533,205,449,279,363/42,778,049.63
  6. Step 6: Final answer
    x = 199,476,262.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.