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Finding the Third Proportional to 54,999,082 and 120,980,774

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Solution

The third proportional to 54,999,082 and 120,980,774 is: 266,119,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999,082 : 120,980,774 = 120,980,774 : x
  2. Step 2: Convert to fraction form
    54,999,082/120,980,774 = 120,980,774/x
  3. Step 3: Cross multiply
    54,999,082x = 120,980,774 × 120,980,774
  4. Step 4: Simplify right side
    54,999,082x = 14,636,347,677,639,076
  5. Step 5: Solve for x
    x = 14,636,347,677,639,076/54,999,082
  6. Step 6: Final answer
    x = 266,119,854.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.