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Finding the Third Proportional to 76,888,082 and 168,380,947

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Solution

The third proportional to 76,888,082 and 168,380,947 is: 368,745,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888,082 : 168,380,947 = 168,380,947 : x
  2. Step 2: Convert to fraction form
    76,888,082/168,380,947 = 168,380,947/x
  3. Step 3: Cross multiply
    76,888,082x = 168,380,947 × 168,380,947
  4. Step 4: Simplify right side
    76,888,082x = 28,352,143,312,616,808
  5. Step 5: Solve for x
    x = 28,352,143,312,616,808/76,888,082
  6. Step 6: Final answer
    x = 368,745,617.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.