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Finding the Third Proportional to 51,758,761 and 110,788,265

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Solution

The third proportional to 51,758,761 and 110,788,265 is: 237,139,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758,761 : 110,788,265 = 110,788,265 : x
  2. Step 2: Convert to fraction form
    51,758,761/110,788,265 = 110,788,265/x
  3. Step 3: Cross multiply
    51,758,761x = 110,788,265 × 110,788,265
  4. Step 4: Simplify right side
    51,758,761x = 12,274,039,661,710,224
  5. Step 5: Solve for x
    x = 12,274,039,661,710,224/51,758,761
  6. Step 6: Final answer
    x = 237,139,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.