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Finding the Third Proportional to 107,231,047.50 and 165,699,312

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Solution

The third proportional to 107,231,047.50 and 165,699,312 is: 256,047,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,231,047.50 : 165,699,312 = 165,699,312 : x
  2. Step 2: Convert to fraction form
    107,231,047.50/165,699,312 = 165,699,312/x
  3. Step 3: Cross multiply
    107,231,047.50x = 165,699,312 × 165,699,312
  4. Step 4: Simplify right side
    107,231,047.50x = 27,456,261,997,273,344
  5. Step 5: Solve for x
    x = 27,456,261,997,273,344/107,231,047.50
  6. Step 6: Final answer
    x = 256,047,689.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.