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Finding the Third Proportional to 193,808,850 and 297,897,569

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Solution

The third proportional to 193,808,850 and 297,897,569 is: 457,889,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808,850 : 297,897,569 = 297,897,569 : x
  2. Step 2: Convert to fraction form
    193,808,850/297,897,569 = 297,897,569/x
  3. Step 3: Cross multiply
    193,808,850x = 297,897,569 × 297,897,569
  4. Step 4: Simplify right side
    193,808,850x = 88,742,961,616,109,760
  5. Step 5: Solve for x
    x = 88,742,961,616,109,760/193,808,850
  6. Step 6: Final answer
    x = 457,889,108.86

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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.