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Finding the Third Proportional to 49,296,519 and 106,387,506

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Solution

The third proportional to 49,296,519 and 106,387,506 is: 229,596,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,519 : 106,387,506 = 106,387,506 : x
  2. Step 2: Convert to fraction form
    49,296,519/106,387,506 = 106,387,506/x
  3. Step 3: Cross multiply
    49,296,519x = 106,387,506 × 106,387,506
  4. Step 4: Simplify right side
    49,296,519x = 11,318,301,432,900,036
  5. Step 5: Solve for x
    x = 11,318,301,432,900,036/49,296,519
  6. Step 6: Final answer
    x = 229,596,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.