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Finding the Third Proportional to 114,849,002 and 176,531,151

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Solution

The third proportional to 114,849,002 and 176,531,151 is: 271,341,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,002 : 176,531,151 = 176,531,151 : x
  2. Step 2: Convert to fraction form
    114,849,002/176,531,151 = 176,531,151/x
  3. Step 3: Cross multiply
    114,849,002x = 176,531,151 × 176,531,151
  4. Step 4: Simplify right side
    114,849,002x = 31,163,247,273,384,800
  5. Step 5: Solve for x
    x = 31,163,247,273,384,800/114,849,002
  6. Step 6: Final answer
    x = 271,341,036.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.