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Finding the Third Proportional to 223,115,472 and 485,740,314

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Solution

The third proportional to 223,115,472 and 485,740,314 is: 1,057,495,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115,472 : 485,740,314 = 485,740,314 : x
  2. Step 2: Convert to fraction form
    223,115,472/485,740,314 = 485,740,314/x
  3. Step 3: Cross multiply
    223,115,472x = 485,740,314 × 485,740,314
  4. Step 4: Simplify right side
    223,115,472x = 235,943,652,644,818,592
  5. Step 5: Solve for x
    x = 235,943,652,644,818,592/223,115,472
  6. Step 6: Final answer
    x = 1,057,495,701.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.