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Finding the Third Proportional to 90,841,516.50 and 199,270,254.75

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Solution

The third proportional to 90,841,516.50 and 199,270,254.75 is: 437,119,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841,516.50 : 199,270,254.75 = 199,270,254.75 : x
  2. Step 2: Convert to fraction form
    90,841,516.50/199,270,254.75 = 199,270,254.75/x
  3. Step 3: Cross multiply
    90,841,516.50x = 199,270,254.75 × 199,270,254.75
  4. Step 4: Simplify right side
    90,841,516.50x = 39,708,634,428,129,896
  5. Step 5: Solve for x
    x = 39,708,634,428,129,896/90,841,516.50
  6. Step 6: Final answer
    x = 437,119,898.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.