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Finding the Third Proportional to 65,035,639.13 and 100,820,836.69

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Solution

The third proportional to 65,035,639.13 and 100,820,836.69 is: 156,296,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035,639.13 : 100,820,836.69 = 100,820,836.69 : x
  2. Step 2: Convert to fraction form
    65,035,639.13/100,820,836.69 = 100,820,836.69/x
  3. Step 3: Cross multiply
    65,035,639.13x = 100,820,836.69 × 100,820,836.69
  4. Step 4: Simplify right side
    65,035,639.13x = 10,164,841,110,367,546
  5. Step 5: Solve for x
    x = 10,164,841,110,367,546/65,035,639.13
  6. Step 6: Final answer
    x = 156,296,474.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.