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Finding the Third Proportional to 100,088,522.50 and 215,534,645

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Solution

The third proportional to 100,088,522.50 and 215,534,645 is: 464,140,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088,522.50 : 215,534,645 = 215,534,645 : x
  2. Step 2: Convert to fraction form
    100,088,522.50/215,534,645 = 215,534,645/x
  3. Step 3: Cross multiply
    100,088,522.50x = 215,534,645 × 215,534,645
  4. Step 4: Simplify right side
    100,088,522.50x = 46,455,183,195,276,024
  5. Step 5: Solve for x
    x = 46,455,183,195,276,024/100,088,522.50
  6. Step 6: Final answer
    x = 464,140,962.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.