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Finding the Third Proportional to 51,331,410 and 114,139,701

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Solution

The third proportional to 51,331,410 and 114,139,701 is: 253,799,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331,410 : 114,139,701 = 114,139,701 : x
  2. Step 2: Convert to fraction form
    51,331,410/114,139,701 = 114,139,701/x
  3. Step 3: Cross multiply
    51,331,410x = 114,139,701 × 114,139,701
  4. Step 4: Simplify right side
    51,331,410x = 13,027,871,344,369,400
  5. Step 5: Solve for x
    x = 13,027,871,344,369,400/51,331,410
  6. Step 6: Final answer
    x = 253,799,210.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.