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Finding the Third Proportional to 65,239,952 and 103,645,656

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Solution

The third proportional to 65,239,952 and 103,645,656 is: 164,660,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239,952 : 103,645,656 = 103,645,656 : x
  2. Step 2: Convert to fraction form
    65,239,952/103,645,656 = 103,645,656/x
  3. Step 3: Cross multiply
    65,239,952x = 103,645,656 × 103,645,656
  4. Step 4: Simplify right side
    65,239,952x = 10,742,422,007,670,336
  5. Step 5: Solve for x
    x = 10,742,422,007,670,336/65,239,952
  6. Step 6: Final answer
    x = 164,660,176.45

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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.