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Finding the Third Proportional to 176,734,525.50 and 371,784,082.50

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Solution

The third proportional to 176,734,525.50 and 371,784,082.50 is: 782,096,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,734,525.50 : 371,784,082.50 = 371,784,082.50 : x
  2. Step 2: Convert to fraction form
    176,734,525.50/371,784,082.50 = 371,784,082.50/x
  3. Step 3: Cross multiply
    176,734,525.50x = 371,784,082.50 × 371,784,082.50
  4. Step 4: Simplify right side
    176,734,525.50x = 138,223,404,000,366,800
  5. Step 5: Solve for x
    x = 138,223,404,000,366,800/176,734,525.50
  6. Step 6: Final answer
    x = 782,096,218.10

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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.