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Finding the Third Proportional to 65,239,984 and 103,645,704

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Solution

The third proportional to 65,239,984 and 103,645,704 is: 164,660,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,984 : 103,645,704 = 103,645,704 : x
  2. Step 2: Convert to fraction form
    65,239,984/103,645,704 = 103,645,704/x
  3. Step 3: Cross multiply
    65,239,984x = 103,645,704 × 103,645,704
  4. Step 4: Simplify right side
    65,239,984x = 10,742,431,957,655,616
  5. Step 5: Solve for x
    x = 10,742,431,957,655,616/65,239,984
  6. Step 6: Final answer
    x = 164,660,248.19

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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.