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Finding the Third Proportional to 231,956,588,502 and 499,363,365,888

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Solution

The third proportional to 231,956,588,502 and 499,363,365,888 is: 1,075,045,002,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,956,588,502 : 499,363,365,888 = 499,363,365,888 : x
  2. Step 2: Convert to fraction form
    231,956,588,502/499,363,365,888 = 499,363,365,888/x
  3. Step 3: Cross multiply
    231,956,588,502x = 499,363,365,888 × 499,363,365,888
  4. Step 4: Simplify right side
    231,956,588,502x = 249,363,771,190,992,560,979,968
  5. Step 5: Solve for x
    x = 249,363,771,190,992,560,979,968/231,956,588,502
  6. Step 6: Final answer
    x = 1,075,045,002,176.53

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