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Finding the Third Proportional to 45,905,581.13 and 96,992,164.13

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Solution

The third proportional to 45,905,581.13 and 96,992,164.13 is: 204,931,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905,581.13 : 96,992,164.13 = 96,992,164.13 : x
  2. Step 2: Convert to fraction form
    45,905,581.13/96,992,164.13 = 96,992,164.13/x
  3. Step 3: Cross multiply
    45,905,581.13x = 96,992,164.13 × 96,992,164.13
  4. Step 4: Simplify right side
    45,905,581.13x = 9,407,479,901,650,938
  5. Step 5: Solve for x
    x = 9,407,479,901,650,938/45,905,581.13
  6. Step 6: Final answer
    x = 204,931,070.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.