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Finding the Third Proportional to 233,265,307.50 and 501,147,855

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Solution

The third proportional to 233,265,307.50 and 501,147,855 is: 1,076,667,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,307.50 : 501,147,855 = 501,147,855 : x
  2. Step 2: Convert to fraction form
    233,265,307.50/501,147,855 = 501,147,855/x
  3. Step 3: Cross multiply
    233,265,307.50x = 501,147,855 × 501,147,855
  4. Step 4: Simplify right side
    233,265,307.50x = 251,149,172,571,101,024
  5. Step 5: Solve for x
    x = 251,149,172,571,101,024/233,265,307.50
  6. Step 6: Final answer
    x = 1,076,667,487.60

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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.