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Finding the Third Proportional to 96,903,960 and 145,426,813

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Solution

The third proportional to 96,903,960 and 145,426,813 is: 218,246,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903,960 : 145,426,813 = 145,426,813 : x
  2. Step 2: Convert to fraction form
    96,903,960/145,426,813 = 145,426,813/x
  3. Step 3: Cross multiply
    96,903,960x = 145,426,813 × 145,426,813
  4. Step 4: Simplify right side
    96,903,960x = 21,148,957,939,336,968
  5. Step 5: Solve for x
    x = 21,148,957,939,336,968/96,903,960
  6. Step 6: Final answer
    x = 218,246,580.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.