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Finding the Third Proportional to 193,807,665 and 297,896,307

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Solution

The third proportional to 193,807,665 and 297,896,307 is: 457,888,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807,665 : 297,896,307 = 297,896,307 : x
  2. Step 2: Convert to fraction form
    193,807,665/297,896,307 = 297,896,307/x
  3. Step 3: Cross multiply
    193,807,665x = 297,896,307 × 297,896,307
  4. Step 4: Simplify right side
    193,807,665x = 88,742,209,724,238,256
  5. Step 5: Solve for x
    x = 88,742,209,724,238,256/193,807,665
  6. Step 6: Final answer
    x = 457,888,028.96

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Why These Related Problems?

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