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Finding the Third Proportional to 103,633,967 and 221,616,841

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Solution

The third proportional to 103,633,967 and 221,616,841 is: 473,918,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,967 : 221,616,841 = 221,616,841 : x
  2. Step 2: Convert to fraction form
    103,633,967/221,616,841 = 221,616,841/x
  3. Step 3: Cross multiply
    103,633,967x = 221,616,841 × 221,616,841
  4. Step 4: Simplify right side
    103,633,967x = 49,114,024,214,819,280
  5. Step 5: Solve for x
    x = 49,114,024,214,819,280/103,633,967
  6. Step 6: Final answer
    x = 473,918,210.76

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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.