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Finding the Third Proportional to 99,469,126,913.63 and 216,366,274,029.38

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Solution

The third proportional to 99,469,126,913.63 and 216,366,274,029.38 is: 470,642,157,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,469,126,913.63 : 216,366,274,029.38 = 216,366,274,029.38 : x
  2. Step 2: Convert to fraction form
    99,469,126,913.63/216,366,274,029.38 = 216,366,274,029.38/x
  3. Step 3: Cross multiply
    99,469,126,913.63x = 216,366,274,029.38 × 216,366,274,029.38
  4. Step 4: Simplify right side
    99,469,126,913.63x = 46,814,364,537,356,764,053,504
  5. Step 5: Solve for x
    x = 46,814,364,537,356,764,053,504/99,469,126,913.63
  6. Step 6: Final answer
    x = 470,642,157,923.12

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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.