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Finding the Third Proportional to 114,849,744 and 176,532,012

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Solution

The third proportional to 114,849,744 and 176,532,012 is: 271,341,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,744 : 176,532,012 = 176,532,012 : x
  2. Step 2: Convert to fraction form
    114,849,744/176,532,012 = 176,532,012/x
  3. Step 3: Cross multiply
    114,849,744x = 176,532,012 × 176,532,012
  4. Step 4: Simplify right side
    114,849,744x = 31,163,551,260,768,144
  5. Step 5: Solve for x
    x = 31,163,551,260,768,144/114,849,744
  6. Step 6: Final answer
    x = 271,341,930.56

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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.