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Finding the Third Proportional to 98,494,706 and 213,811,708

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Solution

The third proportional to 98,494,706 and 213,811,708 is: 464,141,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494,706 : 213,811,708 = 213,811,708 : x
  2. Step 2: Convert to fraction form
    98,494,706/213,811,708 = 213,811,708/x
  3. Step 3: Cross multiply
    98,494,706x = 213,811,708 × 213,811,708
  4. Step 4: Simplify right side
    98,494,706x = 45,715,446,477,877,264
  5. Step 5: Solve for x
    x = 45,715,446,477,877,264/98,494,706
  6. Step 6: Final answer
    x = 464,141,153.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.