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Finding the Third Proportional to 108,262,187,784 and 225,433,895,670

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Solution

The third proportional to 108,262,187,784 and 225,433,895,670 is: 469,420,047,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262,187,784 : 225,433,895,670 = 225,433,895,670 : x
  2. Step 2: Convert to fraction form
    108,262,187,784/225,433,895,670 = 225,433,895,670/x
  3. Step 3: Cross multiply
    108,262,187,784x = 225,433,895,670 × 225,433,895,670
  4. Step 4: Simplify right side
    108,262,187,784x = 50,820,441,316,952,446,599,168
  5. Step 5: Solve for x
    x = 50,820,441,316,952,446,599,168/108,262,187,784
  6. Step 6: Final answer
    x = 469,420,047,360.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.