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Finding the Third Proportional to 97,404,534 and 146,234,925

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Solution

The third proportional to 97,404,534 and 146,234,925 is: 219,544,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404,534 : 146,234,925 = 146,234,925 : x
  2. Step 2: Convert to fraction form
    97,404,534/146,234,925 = 146,234,925/x
  3. Step 3: Cross multiply
    97,404,534x = 146,234,925 × 146,234,925
  4. Step 4: Simplify right side
    97,404,534x = 21,384,653,289,755,624
  5. Step 5: Solve for x
    x = 21,384,653,289,755,624/97,404,534
  6. Step 6: Final answer
    x = 219,544,742.03

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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.