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Finding the Third Proportional to 97,496,790 and 151,451,352

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Solution

The third proportional to 97,496,790 and 151,451,352 is: 235,264,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496,790 : 151,451,352 = 151,451,352 : x
  2. Step 2: Convert to fraction form
    97,496,790/151,451,352 = 151,451,352/x
  3. Step 3: Cross multiply
    97,496,790x = 151,451,352 × 151,451,352
  4. Step 4: Simplify right side
    97,496,790x = 22,937,512,022,627,904
  5. Step 5: Solve for x
    x = 22,937,512,022,627,904/97,496,790
  6. Step 6: Final answer
    x = 235,264,279.19

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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.