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Finding the Third Proportional to 65,239,982 and 103,645,701

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Solution

The third proportional to 65,239,982 and 103,645,701 is: 164,660,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,982 : 103,645,701 = 103,645,701 : x
  2. Step 2: Convert to fraction form
    65,239,982/103,645,701 = 103,645,701/x
  3. Step 3: Cross multiply
    65,239,982x = 103,645,701 × 103,645,701
  4. Step 4: Simplify right side
    65,239,982x = 10,742,431,335,781,400
  5. Step 5: Solve for x
    x = 10,742,431,335,781,400/65,239,982
  6. Step 6: Final answer
    x = 164,660,243.71

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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.