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Finding the Third Proportional to 51,116,946.75 and 110,028,364.50

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Solution

The third proportional to 51,116,946.75 and 110,028,364.50 is: 236,834,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116,946.75 : 110,028,364.50 = 110,028,364.50 : x
  2. Step 2: Convert to fraction form
    51,116,946.75/110,028,364.50 = 110,028,364.50/x
  3. Step 3: Cross multiply
    51,116,946.75x = 110,028,364.50 × 110,028,364.50
  4. Step 4: Simplify right side
    51,116,946.75x = 12,106,240,994,544,860
  5. Step 5: Solve for x
    x = 12,106,240,994,544,860/51,116,946.75
  6. Step 6: Final answer
    x = 236,834,196.18

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