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Finding the Third Proportional to 176,569,647 and 380,124,505.50

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Solution

The third proportional to 176,569,647 and 380,124,505.50 is: 818,343,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,569,647 : 380,124,505.50 = 380,124,505.50 : x
  2. Step 2: Convert to fraction form
    176,569,647/380,124,505.50 = 380,124,505.50/x
  3. Step 3: Cross multiply
    176,569,647x = 380,124,505.50 × 380,124,505.50
  4. Step 4: Simplify right side
    176,569,647x = 144,494,639,681,619,520
  5. Step 5: Solve for x
    x = 144,494,639,681,619,520/176,569,647
  6. Step 6: Final answer
    x = 818,343,594.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.