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Finding the Third Proportional to 95,433,830,288.50 and 207,622,992,658.50

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Solution

The third proportional to 95,433,830,288.50 and 207,622,992,658.50 is: 451,698,385,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,433,830,288.50 : 207,622,992,658.50 = 207,622,992,658.50 : x
  2. Step 2: Convert to fraction form
    95,433,830,288.50/207,622,992,658.50 = 207,622,992,658.50/x
  3. Step 3: Cross multiply
    95,433,830,288.50x = 207,622,992,658.50 × 207,622,992,658.50
  4. Step 4: Simplify right side
    95,433,830,288.50x = 43,107,307,080,471,543,808,000
  5. Step 5: Solve for x
    x = 43,107,307,080,471,543,808,000/95,433,830,288.50
  6. Step 6: Final answer
    x = 451,698,385,678.92

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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.