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Finding the Third Proportional to 72,986,760 and 102,039,961.50

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Solution

The third proportional to 72,986,760 and 102,039,961.50 is: 142,658,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986,760 : 102,039,961.50 = 102,039,961.50 : x
  2. Step 2: Convert to fraction form
    72,986,760/102,039,961.50 = 102,039,961.50/x
  3. Step 3: Cross multiply
    72,986,760x = 102,039,961.50 × 102,039,961.50
  4. Step 4: Simplify right side
    72,986,760x = 10,412,153,742,921,482
  5. Step 5: Solve for x
    x = 10,412,153,742,921,482/72,986,760
  6. Step 6: Final answer
    x = 142,658,116.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.