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Finding the Third Proportional to 103,633,890 and 221,616,685

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Solution

The third proportional to 103,633,890 and 221,616,685 is: 473,917,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,890 : 221,616,685 = 221,616,685 : x
  2. Step 2: Convert to fraction form
    103,633,890/221,616,685 = 221,616,685/x
  3. Step 3: Cross multiply
    103,633,890x = 221,616,685 × 221,616,685
  4. Step 4: Simplify right side
    103,633,890x = 49,113,955,070,389,224
  5. Step 5: Solve for x
    x = 49,113,955,070,389,224/103,633,890
  6. Step 6: Final answer
    x = 473,917,895.68

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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.