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Finding the Third Proportional to 103,634,014 and 221,616,934

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Solution

The third proportional to 103,634,014 and 221,616,934 is: 473,918,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,014 : 221,616,934 = 221,616,934 : x
  2. Step 2: Convert to fraction form
    103,634,014/221,616,934 = 221,616,934/x
  3. Step 3: Cross multiply
    103,634,014x = 221,616,934 × 221,616,934
  4. Step 4: Simplify right side
    103,634,014x = 49,114,065,435,560,352
  5. Step 5: Solve for x
    x = 49,114,065,435,560,352/103,634,014
  6. Step 6: Final answer
    x = 473,918,393.58

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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.