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Finding the Third Proportional to 97,533,152 and 133,744,512

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Solution

The third proportional to 97,533,152 and 133,744,512 is: 183,400,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,533,152 : 133,744,512 = 133,744,512 : x
  2. Step 2: Convert to fraction form
    97,533,152/133,744,512 = 133,744,512/x
  3. Step 3: Cross multiply
    97,533,152x = 133,744,512 × 133,744,512
  4. Step 4: Simplify right side
    97,533,152x = 17,887,594,490,118,144
  5. Step 5: Solve for x
    x = 17,887,594,490,118,144/97,533,152
  6. Step 6: Final answer
    x = 183,400,147.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.