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Finding the Third Proportional to 123,905,092.50 and 193,398,688.13

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Solution

The third proportional to 123,905,092.50 and 193,398,688.13 is: 301,868,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905,092.50 : 193,398,688.13 = 193,398,688.13 : x
  2. Step 2: Convert to fraction form
    123,905,092.50/193,398,688.13 = 193,398,688.13/x
  3. Step 3: Cross multiply
    123,905,092.50x = 193,398,688.13 × 193,398,688.13
  4. Step 4: Simplify right side
    123,905,092.50x = 37,403,052,568,471,016
  5. Step 5: Solve for x
    x = 37,403,052,568,471,016/123,905,092.50
  6. Step 6: Final answer
    x = 301,868,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.