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Finding the Third Proportional to 145,460,511.50 and 323,206,059

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Solution

The third proportional to 145,460,511.50 and 323,206,059 is: 718,147,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460,511.50 : 323,206,059 = 323,206,059 : x
  2. Step 2: Convert to fraction form
    145,460,511.50/323,206,059 = 323,206,059/x
  3. Step 3: Cross multiply
    145,460,511.50x = 323,206,059 × 323,206,059
  4. Step 4: Simplify right side
    145,460,511.50x = 104,462,156,574,311,488
  5. Step 5: Solve for x
    x = 104,462,156,574,311,488/145,460,511.50
  6. Step 6: Final answer
    x = 718,147,870.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.