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Finding the Third Proportional to 65,512,116 and 102,760,332

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Solution

The third proportional to 65,512,116 and 102,760,332 is: 161,186,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512,116 : 102,760,332 = 102,760,332 : x
  2. Step 2: Convert to fraction form
    65,512,116/102,760,332 = 102,760,332/x
  3. Step 3: Cross multiply
    65,512,116x = 102,760,332 × 102,760,332
  4. Step 4: Simplify right side
    65,512,116x = 10,559,685,832,750,224
  5. Step 5: Solve for x
    x = 10,559,685,832,750,224/65,512,116
  6. Step 6: Final answer
    x = 161,186,761.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.