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Finding the Third Proportional to 144,093,856.50 and 310,071,925.13

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Solution

The third proportional to 144,093,856.50 and 310,071,925.13 is: 667,235,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093,856.50 : 310,071,925.13 = 310,071,925.13 : x
  2. Step 2: Convert to fraction form
    144,093,856.50/310,071,925.13 = 310,071,925.13/x
  3. Step 3: Cross multiply
    144,093,856.50x = 310,071,925.13 × 310,071,925.13
  4. Step 4: Simplify right side
    144,093,856.50x = 96,144,598,750,723,600
  5. Step 5: Solve for x
    x = 96,144,598,750,723,600/144,093,856.50
  6. Step 6: Final answer
    x = 667,235,932.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.