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Finding the Third Proportional to 49,387,202 and 106,359,880

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Solution

The third proportional to 49,387,202 and 106,359,880 is: 229,055,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387,202 : 106,359,880 = 106,359,880 : x
  2. Step 2: Convert to fraction form
    49,387,202/106,359,880 = 106,359,880/x
  3. Step 3: Cross multiply
    49,387,202x = 106,359,880 × 106,359,880
  4. Step 4: Simplify right side
    49,387,202x = 11,312,424,073,614,400
  5. Step 5: Solve for x
    x = 11,312,424,073,614,400/49,387,202
  6. Step 6: Final answer
    x = 229,055,779.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.