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Finding the Third Proportional to 165,633,928 and 358,871,984

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Solution

The third proportional to 165,633,928 and 358,871,984 is: 777,552,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,633,928 : 358,871,984 = 358,871,984 : x
  2. Step 2: Convert to fraction form
    165,633,928/358,871,984 = 358,871,984/x
  3. Step 3: Cross multiply
    165,633,928x = 358,871,984 × 358,871,984
  4. Step 4: Simplify right side
    165,633,928x = 128,789,100,900,096,256
  5. Step 5: Solve for x
    x = 128,789,100,900,096,256/165,633,928
  6. Step 6: Final answer
    x = 777,552,657.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.