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Finding the Third Proportional to 257,918,352.19 and 544,948,103.81

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Solution

The third proportional to 257,918,352.19 and 544,948,103.81 is: 1,151,404,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,918,352.19 : 544,948,103.81 = 544,948,103.81 : x
  2. Step 2: Convert to fraction form
    257,918,352.19/544,948,103.81 = 544,948,103.81/x
  3. Step 3: Cross multiply
    257,918,352.19x = 544,948,103.81 × 544,948,103.81
  4. Step 4: Simplify right side
    257,918,352.19x = 296,968,435,848,839,296
  5. Step 5: Solve for x
    x = 296,968,435,848,839,296/257,918,352.19
  6. Step 6: Final answer
    x = 1,151,404,827.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.