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Finding the Third Proportional to 242,118,418 and 339,740,070

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Solution

The third proportional to 242,118,418 and 339,740,070 is: 476,722,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,118,418 : 339,740,070 = 339,740,070 : x
  2. Step 2: Convert to fraction form
    242,118,418/339,740,070 = 339,740,070/x
  3. Step 3: Cross multiply
    242,118,418x = 339,740,070 × 339,740,070
  4. Step 4: Simplify right side
    242,118,418x = 115,423,315,163,604,896
  5. Step 5: Solve for x
    x = 115,423,315,163,604,896/242,118,418
  6. Step 6: Final answer
    x = 476,722,572.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.