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Finding the Third Proportional to 209,463,946.50 and 444,460,612

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Solution

The third proportional to 209,463,946.50 and 444,460,612 is: 943,098,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,946.50 : 444,460,612 = 444,460,612 : x
  2. Step 2: Convert to fraction form
    209,463,946.50/444,460,612 = 444,460,612/x
  3. Step 3: Cross multiply
    209,463,946.50x = 444,460,612 × 444,460,612
  4. Step 4: Simplify right side
    209,463,946.50x = 197,545,235,619,414,528
  5. Step 5: Solve for x
    x = 197,545,235,619,414,528/209,463,946.50
  6. Step 6: Final answer
    x = 943,098,986.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.