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Finding the Third Proportional to 176,734,560 and 371,784,156

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Solution

The third proportional to 176,734,560 and 371,784,156 is: 782,096,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,734,560 : 371,784,156 = 371,784,156 : x
  2. Step 2: Convert to fraction form
    176,734,560/371,784,156 = 371,784,156/x
  3. Step 3: Cross multiply
    176,734,560x = 371,784,156 × 371,784,156
  4. Step 4: Simplify right side
    176,734,560x = 138,223,458,652,632,336
  5. Step 5: Solve for x
    x = 138,223,458,652,632,336/176,734,560
  6. Step 6: Final answer
    x = 782,096,374.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.