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Finding the Third Proportional to 176,734,545.75 and 371,784,121.88

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Solution

The third proportional to 176,734,545.75 and 371,784,121.88 is: 782,096,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,734,545.75 : 371,784,121.88 = 371,784,121.88 : x
  2. Step 2: Convert to fraction form
    176,734,545.75/371,784,121.88 = 371,784,121.88/x
  3. Step 3: Cross multiply
    176,734,545.75x = 371,784,121.88 × 371,784,121.88
  4. Step 4: Simplify right side
    176,734,545.75x = 138,223,433,278,364,848
  5. Step 5: Solve for x
    x = 138,223,433,278,364,848/176,734,545.75
  6. Step 6: Final answer
    x = 782,096,294.14

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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.