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Finding the Third Proportional to 117,458,880 and 176,106,807

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Solution

The third proportional to 117,458,880 and 176,106,807 is: 264,037,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,458,880 : 176,106,807 = 176,106,807 : x
  2. Step 2: Convert to fraction form
    117,458,880/176,106,807 = 176,106,807/x
  3. Step 3: Cross multiply
    117,458,880x = 176,106,807 × 176,106,807
  4. Step 4: Simplify right side
    117,458,880x = 31,013,607,471,735,248
  5. Step 5: Solve for x
    x = 31,013,607,471,735,248/117,458,880
  6. Step 6: Final answer
    x = 264,037,997.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.