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Finding the Third Proportional to 97,283,721.09 and 212,518,338.19

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Solution

The third proportional to 97,283,721.09 and 212,518,338.19 is: 464,250,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283,721.09 : 212,518,338.19 = 212,518,338.19 : x
  2. Step 2: Convert to fraction form
    97,283,721.09/212,518,338.19 = 212,518,338.19/x
  3. Step 3: Cross multiply
    97,283,721.09x = 212,518,338.19 × 212,518,338.19
  4. Step 4: Simplify right side
    97,283,721.09x = 45,164,044,065,976,624
  5. Step 5: Solve for x
    x = 45,164,044,065,976,624/97,283,721.09
  6. Step 6: Final answer
    x = 464,250,786.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.