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Finding the Third Proportional to 139,642,108 and 293,755,352

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Solution

The third proportional to 139,642,108 and 293,755,352 is: 617,952,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,642,108 : 293,755,352 = 293,755,352 : x
  2. Step 2: Convert to fraction form
    139,642,108/293,755,352 = 293,755,352/x
  3. Step 3: Cross multiply
    139,642,108x = 293,755,352 × 293,755,352
  4. Step 4: Simplify right side
    139,642,108x = 86,292,206,828,643,904
  5. Step 5: Solve for x
    x = 86,292,206,828,643,904/139,642,108
  6. Step 6: Final answer
    x = 617,952,622.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.