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Finding the Third Proportional to 49,091,664 and 106,802,500

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Solution

The third proportional to 49,091,664 and 106,802,500 is: 232,356,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091,664 : 106,802,500 = 106,802,500 : x
  2. Step 2: Convert to fraction form
    49,091,664/106,802,500 = 106,802,500/x
  3. Step 3: Cross multiply
    49,091,664x = 106,802,500 × 106,802,500
  4. Step 4: Simplify right side
    49,091,664x = 11,406,774,006,250,000
  5. Step 5: Solve for x
    x = 11,406,774,006,250,000/49,091,664
  6. Step 6: Final answer
    x = 232,356,638.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.