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Finding the Third Proportional to 193,808,846.25 and 297,897,564.38

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Solution

The third proportional to 193,808,846.25 and 297,897,564.38 is: 457,889,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808,846.25 : 297,897,564.38 = 297,897,564.38 : x
  2. Step 2: Convert to fraction form
    193,808,846.25/297,897,564.38 = 297,897,564.38/x
  3. Step 3: Cross multiply
    193,808,846.25x = 297,897,564.38 × 297,897,564.38
  4. Step 4: Simplify right side
    193,808,846.25x = 88,742,958,860,557,264
  5. Step 5: Solve for x
    x = 88,742,958,860,557,264/193,808,846.25
  6. Step 6: Final answer
    x = 457,889,103.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.