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Finding the Third Proportional to 65,239,950 and 103,645,653

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Solution

The third proportional to 65,239,950 and 103,645,653 is: 164,660,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,950 : 103,645,653 = 103,645,653 : x
  2. Step 2: Convert to fraction form
    65,239,950/103,645,653 = 103,645,653/x
  3. Step 3: Cross multiply
    65,239,950x = 103,645,653 × 103,645,653
  4. Step 4: Simplify right side
    65,239,950x = 10,742,421,385,796,408
  5. Step 5: Solve for x
    x = 10,742,421,385,796,408/65,239,950
  6. Step 6: Final answer
    x = 164,660,171.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.