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Finding the Third Proportional to 95,830,533 and 208,451,596.50

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Solution

The third proportional to 95,830,533 and 208,451,596.50 is: 453,426,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830,533 : 208,451,596.50 = 208,451,596.50 : x
  2. Step 2: Convert to fraction form
    95,830,533/208,451,596.50 = 208,451,596.50/x
  3. Step 3: Cross multiply
    95,830,533x = 208,451,596.50 × 208,451,596.50
  4. Step 4: Simplify right side
    95,830,533x = 43,452,068,083,398,816
  5. Step 5: Solve for x
    x = 43,452,068,083,398,816/95,830,533
  6. Step 6: Final answer
    x = 453,426,133.85

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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.