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Finding the Third Proportional to 219,411,732 and 456,983,580

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Solution

The third proportional to 219,411,732 and 456,983,580 is: 951,790,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411,732 : 456,983,580 = 456,983,580 : x
  2. Step 2: Convert to fraction form
    219,411,732/456,983,580 = 456,983,580/x
  3. Step 3: Cross multiply
    219,411,732x = 456,983,580 × 456,983,580
  4. Step 4: Simplify right side
    219,411,732x = 208,833,992,389,616,384
  5. Step 5: Solve for x
    x = 208,833,992,389,616,384/219,411,732
  6. Step 6: Final answer
    x = 951,790,455.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.