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Finding the Third Proportional to 51,701,765 and 112,020,171

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Solution

The third proportional to 51,701,765 and 112,020,171 is: 242,709,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,701,765 : 112,020,171 = 112,020,171 : x
  2. Step 2: Convert to fraction form
    51,701,765/112,020,171 = 112,020,171/x
  3. Step 3: Cross multiply
    51,701,765x = 112,020,171 × 112,020,171
  4. Step 4: Simplify right side
    51,701,765x = 12,548,518,710,869,240
  5. Step 5: Solve for x
    x = 12,548,518,710,869,240/51,701,765
  6. Step 6: Final answer
    x = 242,709,677.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.