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Finding the Third Proportional to 97,743,055.50 and 193,018,959

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Solution

The third proportional to 97,743,055.50 and 193,018,959 is: 381,165,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,743,055.50 : 193,018,959 = 193,018,959 : x
  2. Step 2: Convert to fraction form
    97,743,055.50/193,018,959 = 193,018,959/x
  3. Step 3: Cross multiply
    97,743,055.50x = 193,018,959 × 193,018,959
  4. Step 4: Simplify right side
    97,743,055.50x = 37,256,318,533,443,680
  5. Step 5: Solve for x
    x = 37,256,318,533,443,680/97,743,055.50
  6. Step 6: Final answer
    x = 381,165,887.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.