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Finding the Third Proportional to 103,633,877 and 221,616,658

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Solution

The third proportional to 103,633,877 and 221,616,658 is: 473,917,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,877 : 221,616,658 = 221,616,658 : x
  2. Step 2: Convert to fraction form
    103,633,877/221,616,658 = 221,616,658/x
  3. Step 3: Cross multiply
    103,633,877x = 221,616,658 × 221,616,658
  4. Step 4: Simplify right side
    103,633,877x = 49,113,943,103,088,960
  5. Step 5: Solve for x
    x = 49,113,943,103,088,960/103,633,877
  6. Step 6: Final answer
    x = 473,917,839.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.