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Finding the Third Proportional to 219,411,730 and 456,983,576

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Solution

The third proportional to 219,411,730 and 456,983,576 is: 951,790,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411,730 : 456,983,576 = 456,983,576 : x
  2. Step 2: Convert to fraction form
    219,411,730/456,983,576 = 456,983,576/x
  3. Step 3: Cross multiply
    219,411,730x = 456,983,576 × 456,983,576
  4. Step 4: Simplify right side
    219,411,730x = 208,833,988,733,747,776
  5. Step 5: Solve for x
    x = 208,833,988,733,747,776/219,411,730
  6. Step 6: Final answer
    x = 951,790,447.73

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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.