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Finding the Third Proportional to 65,239,961 and 103,645,670

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Solution

The third proportional to 65,239,961 and 103,645,670 is: 164,660,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,961 : 103,645,670 = 103,645,670 : x
  2. Step 2: Convert to fraction form
    65,239,961/103,645,670 = 103,645,670/x
  3. Step 3: Cross multiply
    65,239,961x = 103,645,670 × 103,645,670
  4. Step 4: Simplify right side
    65,239,961x = 10,742,424,909,748,900
  5. Step 5: Solve for x
    x = 10,742,424,909,748,900/65,239,961
  6. Step 6: Final answer
    x = 164,660,198.21

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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.