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Finding the Third Proportional to 216,342,985.50 and 510,192,299.25

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Solution

The third proportional to 216,342,985.50 and 510,192,299.25 is: 1,203,164,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,342,985.50 : 510,192,299.25 = 510,192,299.25 : x
  2. Step 2: Convert to fraction form
    216,342,985.50/510,192,299.25 = 510,192,299.25/x
  3. Step 3: Cross multiply
    216,342,985.50x = 510,192,299.25 × 510,192,299.25
  4. Step 4: Simplify right side
    216,342,985.50x = 260,296,182,214,001,536
  5. Step 5: Solve for x
    x = 260,296,182,214,001,536/216,342,985.50
  6. Step 6: Final answer
    x = 1,203,164,417.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.