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Finding the Third Proportional to 65,239,942 and 103,645,641

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Solution

The third proportional to 65,239,942 and 103,645,641 is: 164,660,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,942 : 103,645,641 = 103,645,641 : x
  2. Step 2: Convert to fraction form
    65,239,942/103,645,641 = 103,645,641/x
  3. Step 3: Cross multiply
    65,239,942x = 103,645,641 × 103,645,641
  4. Step 4: Simplify right side
    65,239,942x = 10,742,418,898,300,880
  5. Step 5: Solve for x
    x = 10,742,418,898,300,880/65,239,942
  6. Step 6: Final answer
    x = 164,660,154.02

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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.