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Finding the Third Proportional to 65,239,954 and 103,645,659

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Solution

The third proportional to 65,239,954 and 103,645,659 is: 164,660,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,954 : 103,645,659 = 103,645,659 : x
  2. Step 2: Convert to fraction form
    65,239,954/103,645,659 = 103,645,659/x
  3. Step 3: Cross multiply
    65,239,954x = 103,645,659 × 103,645,659
  4. Step 4: Simplify right side
    65,239,954x = 10,742,422,629,544,280
  5. Step 5: Solve for x
    x = 10,742,422,629,544,280/65,239,954
  6. Step 6: Final answer
    x = 164,660,180.93

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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.