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Finding the Third Proportional to 359,198,113.50 and 774,463,252.50

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Solution

The third proportional to 359,198,113.50 and 774,463,252.50 is: 1,669,812,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,198,113.50 : 774,463,252.50 = 774,463,252.50 : x
  2. Step 2: Convert to fraction form
    359,198,113.50/774,463,252.50 = 774,463,252.50/x
  3. Step 3: Cross multiply
    359,198,113.50x = 774,463,252.50 × 774,463,252.50
  4. Step 4: Simplify right side
    359,198,113.50x = 599,793,329,472,878,720
  5. Step 5: Solve for x
    x = 599,793,329,472,878,720/359,198,113.50
  6. Step 6: Final answer
    x = 1,669,812,025.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.