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Finding the Third Proportional to 131,876,713.50 and 193,864,618.50

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Solution

The third proportional to 131,876,713.50 and 193,864,618.50 is: 284,989,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,876,713.50 : 193,864,618.50 = 193,864,618.50 : x
  2. Step 2: Convert to fraction form
    131,876,713.50/193,864,618.50 = 193,864,618.50/x
  3. Step 3: Cross multiply
    131,876,713.50x = 193,864,618.50 × 193,864,618.50
  4. Step 4: Simplify right side
    131,876,713.50x = 37,583,490,306,150,544
  5. Step 5: Solve for x
    x = 37,583,490,306,150,544/131,876,713.50
  6. Step 6: Final answer
    x = 284,989,588.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.