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Finding the Third Proportional to 214,884,024.75 and 464,078,677.50

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Solution

The third proportional to 214,884,024.75 and 464,078,677.50 is: 1,002,257,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,884,024.75 : 464,078,677.50 = 464,078,677.50 : x
  2. Step 2: Convert to fraction form
    214,884,024.75/464,078,677.50 = 464,078,677.50/x
  3. Step 3: Cross multiply
    214,884,024.75x = 464,078,677.50 × 464,078,677.50
  4. Step 4: Simplify right side
    214,884,024.75x = 215,369,018,910,148,992
  5. Step 5: Solve for x
    x = 215,369,018,910,148,992/214,884,024.75
  6. Step 6: Final answer
    x = 1,002,257,004.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.