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Finding the Third Proportional to 96,903,190.13 and 148,947,210

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Solution

The third proportional to 96,903,190.13 and 148,947,210 is: 228,942,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903,190.13 : 148,947,210 = 148,947,210 : x
  2. Step 2: Convert to fraction form
    96,903,190.13/148,947,210 = 148,947,210/x
  3. Step 3: Cross multiply
    96,903,190.13x = 148,947,210 × 148,947,210
  4. Step 4: Simplify right side
    96,903,190.13x = 22,185,271,366,784,100
  5. Step 5: Solve for x
    x = 22,185,271,366,784,100/96,903,190.13
  6. Step 6: Final answer
    x = 228,942,631.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.