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Finding the Third Proportional to 49,559,690 and 106,293,631

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Solution

The third proportional to 49,559,690 and 106,293,631 is: 227,974,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,690 : 106,293,631 = 106,293,631 : x
  2. Step 2: Convert to fraction form
    49,559,690/106,293,631 = 106,293,631/x
  3. Step 3: Cross multiply
    49,559,690x = 106,293,631 × 106,293,631
  4. Step 4: Simplify right side
    49,559,690x = 11,298,335,991,164,160
  5. Step 5: Solve for x
    x = 11,298,335,991,164,160/49,559,690
  6. Step 6: Final answer
    x = 227,974,307.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.