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Finding the Third Proportional to 231,956,588,504 and 499,363,365,892

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Solution

The third proportional to 231,956,588,504 and 499,363,365,892 is: 1,075,045,002,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,956,588,504 : 499,363,365,892 = 499,363,365,892 : x
  2. Step 2: Convert to fraction form
    231,956,588,504/499,363,365,892 = 499,363,365,892/x
  3. Step 3: Cross multiply
    231,956,588,504x = 499,363,365,892 × 499,363,365,892
  4. Step 4: Simplify right side
    231,956,588,504x = 249,363,771,194,987,484,545,024
  5. Step 5: Solve for x
    x = 249,363,771,194,987,484,545,024/231,956,588,504
  6. Step 6: Final answer
    x = 1,075,045,002,184.48

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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.