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Finding the Third Proportional to 49,983,882 and 109,133,076

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Solution

The third proportional to 49,983,882 and 109,133,076 is: 238,277,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983,882 : 109,133,076 = 109,133,076 : x
  2. Step 2: Convert to fraction form
    49,983,882/109,133,076 = 109,133,076/x
  3. Step 3: Cross multiply
    49,983,882x = 109,133,076 × 109,133,076
  4. Step 4: Simplify right side
    49,983,882x = 11,910,028,277,221,776
  5. Step 5: Solve for x
    x = 11,910,028,277,221,776/49,983,882
  6. Step 6: Final answer
    x = 238,277,376.64

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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.