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Finding the Third Proportional to 48,011,520 and 105,129,708

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Solution

The third proportional to 48,011,520 and 105,129,708 is: 230,200,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,011,520 : 105,129,708 = 105,129,708 : x
  2. Step 2: Convert to fraction form
    48,011,520/105,129,708 = 105,129,708/x
  3. Step 3: Cross multiply
    48,011,520x = 105,129,708 × 105,129,708
  4. Step 4: Simplify right side
    48,011,520x = 11,052,255,504,165,264
  5. Step 5: Solve for x
    x = 11,052,255,504,165,264/48,011,520
  6. Step 6: Final answer
    x = 230,200,074.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.